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Finding the Third Proportional to 1,002,434.50 and 2,365,566

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Solution

The third proportional to 1,002,434.50 and 2,365,566 is: 5,582,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,434.50 : 2,365,566 = 2,365,566 : x
  2. Step 2: Convert to fraction form
    1,002,434.50/2,365,566 = 2,365,566/x
  3. Step 3: Cross multiply
    1,002,434.50x = 2,365,566 × 2,365,566
  4. Step 4: Simplify right side
    1,002,434.50x = 5,595,902,500,356
  5. Step 5: Solve for x
    x = 5,595,902,500,356/1,002,434.50
  6. Step 6: Final answer
    x = 5,582,312.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.