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Finding the Third Proportional to 407,812,338 and 880,605,825

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Solution

The third proportional to 407,812,338 and 880,605,825 is: 1,901,528,097.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,812,338 : 880,605,825 = 880,605,825 : x
  2. Step 2: Convert to fraction form
    407,812,338/880,605,825 = 880,605,825/x
  3. Step 3: Cross multiply
    407,812,338x = 880,605,825 × 880,605,825
  4. Step 4: Simplify right side
    407,812,338x = 775,466,619,023,930,624
  5. Step 5: Solve for x
    x = 775,466,619,023,930,624/407,812,338
  6. Step 6: Final answer
    x = 1,901,528,097.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.