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Finding the Third Proportional to 747,480 and 1,754,836

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Solution

The third proportional to 747,480 and 1,754,836 is: 4,119,774.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,480 : 1,754,836 = 1,754,836 : x
  2. Step 2: Convert to fraction form
    747,480/1,754,836 = 1,754,836/x
  3. Step 3: Cross multiply
    747,480x = 1,754,836 × 1,754,836
  4. Step 4: Simplify right side
    747,480x = 3,079,449,386,896
  5. Step 5: Solve for x
    x = 3,079,449,386,896/747,480
  6. Step 6: Final answer
    x = 4,119,774.96

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.