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Finding the Third Proportional to 836,624 and 1,292,724

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Solution

The third proportional to 836,624 and 1,292,724 is: 1,997,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,624 : 1,292,724 = 1,292,724 : x
  2. Step 2: Convert to fraction form
    836,624/1,292,724 = 1,292,724/x
  3. Step 3: Cross multiply
    836,624x = 1,292,724 × 1,292,724
  4. Step 4: Simplify right side
    836,624x = 1,671,135,340,176
  5. Step 5: Solve for x
    x = 1,671,135,340,176/836,624
  6. Step 6: Final answer
    x = 1,997,474.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.