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Finding the Third Proportional to 689,092,563 and 1,059,184,647

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Solution

The third proportional to 689,092,563 and 1,059,184,647 is: 1,628,042,699.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,092,563 : 1,059,184,647 = 1,059,184,647 : x
  2. Step 2: Convert to fraction form
    689,092,563/1,059,184,647 = 1,059,184,647/x
  3. Step 3: Cross multiply
    689,092,563x = 1,059,184,647 × 1,059,184,647
  4. Step 4: Simplify right side
    689,092,563x = 1,121,872,116,440,514,560
  5. Step 5: Solve for x
    x = 1,121,872,116,440,514,560/689,092,563
  6. Step 6: Final answer
    x = 1,628,042,699.45

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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.