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Finding the Third Proportional to 723,693 and 1,546,981.50

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Solution

The third proportional to 723,693 and 1,546,981.50 is: 3,306,860.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,693 : 1,546,981.50 = 1,546,981.50 : x
  2. Step 2: Convert to fraction form
    723,693/1,546,981.50 = 1,546,981.50/x
  3. Step 3: Cross multiply
    723,693x = 1,546,981.50 × 1,546,981.50
  4. Step 4: Simplify right side
    723,693x = 2,393,151,761,342.25
  5. Step 5: Solve for x
    x = 2,393,151,761,342.25/723,693
  6. Step 6: Final answer
    x = 3,306,860.45

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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.