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Finding the Third Proportional to 1,680,557 and 3,687,658

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Solution

The third proportional to 1,680,557 and 3,687,658 is: 8,091,853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,557 : 3,687,658 = 3,687,658 : x
  2. Step 2: Convert to fraction form
    1,680,557/3,687,658 = 3,687,658/x
  3. Step 3: Cross multiply
    1,680,557x = 3,687,658 × 3,687,658
  4. Step 4: Simplify right side
    1,680,557x = 13,598,821,524,964
  5. Step 5: Solve for x
    x = 13,598,821,524,964/1,680,557
  6. Step 6: Final answer
    x = 8,091,853.79

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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.