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Finding the Third Proportional to 540,915,894 and 808,189,650

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Solution

The third proportional to 540,915,894 and 808,189,650 is: 1,207,526,932.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,915,894 : 808,189,650 = 808,189,650 : x
  2. Step 2: Convert to fraction form
    540,915,894/808,189,650 = 808,189,650/x
  3. Step 3: Cross multiply
    540,915,894x = 808,189,650 × 808,189,650
  4. Step 4: Simplify right side
    540,915,894x = 653,170,510,367,122,560
  5. Step 5: Solve for x
    x = 653,170,510,367,122,560/540,915,894
  6. Step 6: Final answer
    x = 1,207,526,932.77

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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.