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Finding the Third Proportional to 732,400 and 1,133,448

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Solution

The third proportional to 732,400 and 1,133,448 is: 1,754,102.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,400 : 1,133,448 = 1,133,448 : x
  2. Step 2: Convert to fraction form
    732,400/1,133,448 = 1,133,448/x
  3. Step 3: Cross multiply
    732,400x = 1,133,448 × 1,133,448
  4. Step 4: Simplify right side
    732,400x = 1,284,704,368,704
  5. Step 5: Solve for x
    x = 1,284,704,368,704/732,400
  6. Step 6: Final answer
    x = 1,754,102.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.