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Finding the Third Proportional to 477,870 and 1,042,671

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Solution

The third proportional to 477,870 and 1,042,671 is: 2,275,017.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,870 : 1,042,671 = 1,042,671 : x
  2. Step 2: Convert to fraction form
    477,870/1,042,671 = 1,042,671/x
  3. Step 3: Cross multiply
    477,870x = 1,042,671 × 1,042,671
  4. Step 4: Simplify right side
    477,870x = 1,087,162,814,241
  5. Step 5: Solve for x
    x = 1,087,162,814,241/477,870
  6. Step 6: Final answer
    x = 2,275,017.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.