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Finding the Third Proportional to 439,696,632 and 669,860,568

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Solution

The third proportional to 439,696,632 and 669,860,568 is: 1,020,506,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,696,632 : 669,860,568 = 669,860,568 : x
  2. Step 2: Convert to fraction form
    439,696,632/669,860,568 = 669,860,568/x
  3. Step 3: Cross multiply
    439,696,632x = 669,860,568 × 669,860,568
  4. Step 4: Simplify right side
    439,696,632x = 448,713,180,561,282,624
  5. Step 5: Solve for x
    x = 448,713,180,561,282,624/439,696,632
  6. Step 6: Final answer
    x = 1,020,506,294.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.