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Finding the Third Proportional to 910,912 and 1,361,347

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Solution

The third proportional to 910,912 and 1,361,347 is: 2,034,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,912 : 1,361,347 = 1,361,347 : x
  2. Step 2: Convert to fraction form
    910,912/1,361,347 = 1,361,347/x
  3. Step 3: Cross multiply
    910,912x = 1,361,347 × 1,361,347
  4. Step 4: Simplify right side
    910,912x = 1,853,265,654,409
  5. Step 5: Solve for x
    x = 1,853,265,654,409/910,912
  6. Step 6: Final answer
    x = 2,034,516.68

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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.