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Finding the Third Proportional to 910,916 and 1,361,353

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Solution

The third proportional to 910,916 and 1,361,353 is: 2,034,525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,916 : 1,361,353 = 1,361,353 : x
  2. Step 2: Convert to fraction form
    910,916/1,361,353 = 1,361,353/x
  3. Step 3: Cross multiply
    910,916x = 1,361,353 × 1,361,353
  4. Step 4: Simplify right side
    910,916x = 1,853,281,990,609
  5. Step 5: Solve for x
    x = 1,853,281,990,609/910,916
  6. Step 6: Final answer
    x = 2,034,525.68

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Why These Related Problems?

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