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Finding the Third Proportional to 1,145,930 and 2,428,464

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Solution

The third proportional to 1,145,930 and 2,428,464 is: 5,146,420.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145,930 : 2,428,464 = 2,428,464 : x
  2. Step 2: Convert to fraction form
    1,145,930/2,428,464 = 2,428,464/x
  3. Step 3: Cross multiply
    1,145,930x = 2,428,464 × 2,428,464
  4. Step 4: Simplify right side
    1,145,930x = 5,897,437,399,296
  5. Step 5: Solve for x
    x = 5,897,437,399,296/1,145,930
  6. Step 6: Final answer
    x = 5,146,420.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.