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Finding the Third Proportional to 723,496 and 1,546,650

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Solution

The third proportional to 723,496 and 1,546,650 is: 3,306,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,496 : 1,546,650 = 1,546,650 : x
  2. Step 2: Convert to fraction form
    723,496/1,546,650 = 1,546,650/x
  3. Step 3: Cross multiply
    723,496x = 1,546,650 × 1,546,650
  4. Step 4: Simplify right side
    723,496x = 2,392,126,222,500
  5. Step 5: Solve for x
    x = 2,392,126,222,500/723,496
  6. Step 6: Final answer
    x = 3,306,343.40

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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.