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Finding the Third Proportional to 563,666 and 1,182,720

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Solution

The third proportional to 563,666 and 1,182,720 is: 2,481,658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,666 : 1,182,720 = 1,182,720 : x
  2. Step 2: Convert to fraction form
    563,666/1,182,720 = 1,182,720/x
  3. Step 3: Cross multiply
    563,666x = 1,182,720 × 1,182,720
  4. Step 4: Simplify right side
    563,666x = 1,398,826,598,400
  5. Step 5: Solve for x
    x = 1,398,826,598,400/563,666
  6. Step 6: Final answer
    x = 2,481,658.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.