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Finding the Third Proportional to 665,747 and 1,437,720

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Solution

The third proportional to 665,747 and 1,437,720 is: 3,104,841.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,747 : 1,437,720 = 1,437,720 : x
  2. Step 2: Convert to fraction form
    665,747/1,437,720 = 1,437,720/x
  3. Step 3: Cross multiply
    665,747x = 1,437,720 × 1,437,720
  4. Step 4: Simplify right side
    665,747x = 2,067,038,798,400
  5. Step 5: Solve for x
    x = 2,067,038,798,400/665,747
  6. Step 6: Final answer
    x = 3,104,841.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.