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Finding the Third Proportional to 689,098,114 and 1,059,191,331

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Solution

The third proportional to 689,098,114 and 1,059,191,331 is: 1,628,050,132.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,098,114 : 1,059,191,331 = 1,059,191,331 : x
  2. Step 2: Convert to fraction form
    689,098,114/1,059,191,331 = 1,059,191,331/x
  3. Step 3: Cross multiply
    689,098,114x = 1,059,191,331 × 1,059,191,331
  4. Step 4: Simplify right side
    689,098,114x = 1,121,886,275,665,551,616
  5. Step 5: Solve for x
    x = 1,121,886,275,665,551,616/689,098,114
  6. Step 6: Final answer
    x = 1,628,050,132.30

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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.