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Finding the Third Proportional to 2,178,580 and 3,359,742

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Solution

The third proportional to 2,178,580 and 3,359,742 is: 5,181,295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178,580 : 3,359,742 = 3,359,742 : x
  2. Step 2: Convert to fraction form
    2,178,580/3,359,742 = 3,359,742/x
  3. Step 3: Cross multiply
    2,178,580x = 3,359,742 × 3,359,742
  4. Step 4: Simplify right side
    2,178,580x = 11,287,866,306,564
  5. Step 5: Solve for x
    x = 11,287,866,306,564/2,178,580
  6. Step 6: Final answer
    x = 5,181,295.30

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.