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Finding the Third Proportional to 910,586 and 1,336,347

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Solution

The third proportional to 910,586 and 1,336,347 is: 1,961,180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,586 : 1,336,347 = 1,336,347 : x
  2. Step 2: Convert to fraction form
    910,586/1,336,347 = 1,336,347/x
  3. Step 3: Cross multiply
    910,586x = 1,336,347 × 1,336,347
  4. Step 4: Simplify right side
    910,586x = 1,785,823,304,409
  5. Step 5: Solve for x
    x = 1,785,823,304,409/910,586
  6. Step 6: Final answer
    x = 1,961,180.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.