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Finding the Third Proportional to 1,680,480 and 3,687,498

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Solution

The third proportional to 1,680,480 and 3,687,498 is: 8,091,522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,480 : 3,687,498 = 3,687,498 : x
  2. Step 2: Convert to fraction form
    1,680,480/3,687,498 = 3,687,498/x
  3. Step 3: Cross multiply
    1,680,480x = 3,687,498 × 3,687,498
  4. Step 4: Simplify right side
    1,680,480x = 13,597,641,500,004
  5. Step 5: Solve for x
    x = 13,597,641,500,004/1,680,480
  6. Step 6: Final answer
    x = 8,091,522.36

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.