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Finding the Third Proportional to 916,090 and 1,204,654

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Solution

The third proportional to 916,090 and 1,204,654 is: 1,584,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,090 : 1,204,654 = 1,204,654 : x
  2. Step 2: Convert to fraction form
    916,090/1,204,654 = 1,204,654/x
  3. Step 3: Cross multiply
    916,090x = 1,204,654 × 1,204,654
  4. Step 4: Simplify right side
    916,090x = 1,451,191,259,716
  5. Step 5: Solve for x
    x = 1,451,191,259,716/916,090
  6. Step 6: Final answer
    x = 1,584,114.29

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.