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Finding the Third Proportional to 1,680,436.13 and 2,334,280.78

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Solution

The third proportional to 1,680,436.13 and 2,334,280.78 is: 3,242,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,436.13 : 2,334,280.78 = 2,334,280.78 : x
  2. Step 2: Convert to fraction form
    1,680,436.13/2,334,280.78 = 2,334,280.78/x
  3. Step 3: Cross multiply
    1,680,436.13x = 2,334,280.78 × 2,334,280.78
  4. Step 4: Simplify right side
    1,680,436.13x = 5,448,866,765,713.11
  5. Step 5: Solve for x
    x = 5,448,866,765,713.11/1,680,436.13
  6. Step 6: Final answer
    x = 3,242,531.32

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.