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Finding the Third Proportional to 539,915,608 and 806,335,391

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Solution

The third proportional to 539,915,608 and 806,335,391 is: 1,204,219,239.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,915,608 : 806,335,391 = 806,335,391 : x
  2. Step 2: Convert to fraction form
    539,915,608/806,335,391 = 806,335,391/x
  3. Step 3: Cross multiply
    539,915,608x = 806,335,391 × 806,335,391
  4. Step 4: Simplify right side
    539,915,608x = 650,176,762,779,122,944
  5. Step 5: Solve for x
    x = 650,176,762,779,122,944/539,915,608
  6. Step 6: Final answer
    x = 1,204,219,239.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.