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Finding the Third Proportional to 663,708 and 1,020,744

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Solution

The third proportional to 663,708 and 1,020,744 is: 1,569,844.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,708 : 1,020,744 = 1,020,744 : x
  2. Step 2: Convert to fraction form
    663,708/1,020,744 = 1,020,744/x
  3. Step 3: Cross multiply
    663,708x = 1,020,744 × 1,020,744
  4. Step 4: Simplify right side
    663,708x = 1,041,918,313,536
  5. Step 5: Solve for x
    x = 1,041,918,313,536/663,708
  6. Step 6: Final answer
    x = 1,569,844.44

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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.