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Finding the Third Proportional to 408,935,396 and 880,226,534

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Solution

The third proportional to 408,935,396 and 880,226,534 is: 1,894,672,749.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,935,396 : 880,226,534 = 880,226,534 : x
  2. Step 2: Convert to fraction form
    408,935,396/880,226,534 = 880,226,534/x
  3. Step 3: Cross multiply
    408,935,396x = 880,226,534 × 880,226,534
  4. Step 4: Simplify right side
    408,935,396x = 774,798,751,157,653,120
  5. Step 5: Solve for x
    x = 774,798,751,157,653,120/408,935,396
  6. Step 6: Final answer
    x = 1,894,672,749.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.