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Finding the Third Proportional to 910,914 and 1,361,350

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Solution

The third proportional to 910,914 and 1,361,350 is: 2,034,521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,914 : 1,361,350 = 1,361,350 : x
  2. Step 2: Convert to fraction form
    910,914/1,361,350 = 1,361,350/x
  3. Step 3: Cross multiply
    910,914x = 1,361,350 × 1,361,350
  4. Step 4: Simplify right side
    910,914x = 1,853,273,822,500
  5. Step 5: Solve for x
    x = 1,853,273,822,500/910,914
  6. Step 6: Final answer
    x = 2,034,521.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.