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Finding the Third Proportional to 566,632 and 1,220,696

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Solution

The third proportional to 566,632 and 1,220,696 is: 2,629,746.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,632 : 1,220,696 = 1,220,696 : x
  2. Step 2: Convert to fraction form
    566,632/1,220,696 = 1,220,696/x
  3. Step 3: Cross multiply
    566,632x = 1,220,696 × 1,220,696
  4. Step 4: Simplify right side
    566,632x = 1,490,098,724,416
  5. Step 5: Solve for x
    x = 1,490,098,724,416/566,632
  6. Step 6: Final answer
    x = 2,629,746.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.