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Finding the Third Proportional to 561,006 and 1,217,124

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Solution

The third proportional to 561,006 and 1,217,124 is: 2,640,597.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,006 : 1,217,124 = 1,217,124 : x
  2. Step 2: Convert to fraction form
    561,006/1,217,124 = 1,217,124/x
  3. Step 3: Cross multiply
    561,006x = 1,217,124 × 1,217,124
  4. Step 4: Simplify right side
    561,006x = 1,481,390,831,376
  5. Step 5: Solve for x
    x = 1,481,390,831,376/561,006
  6. Step 6: Final answer
    x = 2,640,597.13

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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.