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Finding the Third Proportional to 1,665,416 and 3,566,846

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Solution

The third proportional to 1,665,416 and 3,566,846 is: 7,639,166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665,416 : 3,566,846 = 3,566,846 : x
  2. Step 2: Convert to fraction form
    1,665,416/3,566,846 = 3,566,846/x
  3. Step 3: Cross multiply
    1,665,416x = 3,566,846 × 3,566,846
  4. Step 4: Simplify right side
    1,665,416x = 12,722,390,387,716
  5. Step 5: Solve for x
    x = 12,722,390,387,716/1,665,416
  6. Step 6: Final answer
    x = 7,639,166.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.