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Finding the Third Proportional to 974,540 and 1,499,845

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Solution

The third proportional to 974,540 and 1,499,845 is: 2,308,304.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,540 : 1,499,845 = 1,499,845 : x
  2. Step 2: Convert to fraction form
    974,540/1,499,845 = 1,499,845/x
  3. Step 3: Cross multiply
    974,540x = 1,499,845 × 1,499,845
  4. Step 4: Simplify right side
    974,540x = 2,249,535,024,025
  5. Step 5: Solve for x
    x = 2,249,535,024,025/974,540
  6. Step 6: Final answer
    x = 2,308,304.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.