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Finding the Third Proportional to 561,924 and 1,217,160

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Solution

The third proportional to 561,924 and 1,217,160 is: 2,636,439.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,924 : 1,217,160 = 1,217,160 : x
  2. Step 2: Convert to fraction form
    561,924/1,217,160 = 1,217,160/x
  3. Step 3: Cross multiply
    561,924x = 1,217,160 × 1,217,160
  4. Step 4: Simplify right side
    561,924x = 1,481,478,465,600
  5. Step 5: Solve for x
    x = 1,481,478,465,600/561,924
  6. Step 6: Final answer
    x = 2,636,439.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.