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Finding the Third Proportional to 689,092,602.75 and 1,059,184,694.25

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Solution

The third proportional to 689,092,602.75 and 1,059,184,694.25 is: 1,628,042,750.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,092,602.75 : 1,059,184,694.25 = 1,059,184,694.25 : x
  2. Step 2: Convert to fraction form
    689,092,602.75/1,059,184,694.25 = 1,059,184,694.25/x
  3. Step 3: Cross multiply
    689,092,602.75x = 1,059,184,694.25 × 1,059,184,694.25
  4. Step 4: Simplify right side
    689,092,602.75x = 1,121,872,216,533,465,984
  5. Step 5: Solve for x
    x = 1,121,872,216,533,465,984/689,092,602.75
  6. Step 6: Final answer
    x = 1,628,042,750.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.