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Finding the Third Proportional to 408,935,398 and 880,226,538

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Solution

The third proportional to 408,935,398 and 880,226,538 is: 1,894,672,757.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,935,398 : 880,226,538 = 880,226,538 : x
  2. Step 2: Convert to fraction form
    408,935,398/880,226,538 = 880,226,538/x
  3. Step 3: Cross multiply
    408,935,398x = 880,226,538 × 880,226,538
  4. Step 4: Simplify right side
    408,935,398x = 774,798,758,199,465,472
  5. Step 5: Solve for x
    x = 774,798,758,199,465,472/408,935,398
  6. Step 6: Final answer
    x = 1,894,672,757.58

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Why These Related Problems?

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