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Finding the Third Proportional to 727,220 and 1,586,632

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Solution

The third proportional to 727,220 and 1,586,632 is: 3,461,677.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,220 : 1,586,632 = 1,586,632 : x
  2. Step 2: Convert to fraction form
    727,220/1,586,632 = 1,586,632/x
  3. Step 3: Cross multiply
    727,220x = 1,586,632 × 1,586,632
  4. Step 4: Simplify right side
    727,220x = 2,517,401,103,424
  5. Step 5: Solve for x
    x = 2,517,401,103,424/727,220
  6. Step 6: Final answer
    x = 3,461,677.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.