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Finding the Third Proportional to 745,972 and 1,593,720

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Solution

The third proportional to 745,972 and 1,593,720 is: 3,404,877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,972 : 1,593,720 = 1,593,720 : x
  2. Step 2: Convert to fraction form
    745,972/1,593,720 = 1,593,720/x
  3. Step 3: Cross multiply
    745,972x = 1,593,720 × 1,593,720
  4. Step 4: Simplify right side
    745,972x = 2,539,943,438,400
  5. Step 5: Solve for x
    x = 2,539,943,438,400/745,972
  6. Step 6: Final answer
    x = 3,404,877.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.