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Finding the Third Proportional to 657,768 and 984,012

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Solution

The third proportional to 657,768 and 984,012 is: 1,472,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,768 : 984,012 = 984,012 : x
  2. Step 2: Convert to fraction form
    657,768/984,012 = 984,012/x
  3. Step 3: Cross multiply
    657,768x = 984,012 × 984,012
  4. Step 4: Simplify right side
    657,768x = 968,279,616,144
  5. Step 5: Solve for x
    x = 968,279,616,144/657,768
  6. Step 6: Final answer
    x = 1,472,068.60

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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.