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Finding the Third Proportional to 657,744 and 983,972

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Solution

The third proportional to 657,744 and 983,972 is: 1,472,002.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,744 : 983,972 = 983,972 : x
  2. Step 2: Convert to fraction form
    657,744/983,972 = 983,972/x
  3. Step 3: Cross multiply
    657,744x = 983,972 × 983,972
  4. Step 4: Simplify right side
    657,744x = 968,200,896,784
  5. Step 5: Solve for x
    x = 968,200,896,784/657,744
  6. Step 6: Final answer
    x = 1,472,002.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.