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Finding the Third Proportional to 416,292 and 902,574

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Solution

The third proportional to 416,292 and 902,574 is: 1,956,895.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,292 : 902,574 = 902,574 : x
  2. Step 2: Convert to fraction form
    416,292/902,574 = 902,574/x
  3. Step 3: Cross multiply
    416,292x = 902,574 × 902,574
  4. Step 4: Simplify right side
    416,292x = 814,639,825,476
  5. Step 5: Solve for x
    x = 814,639,825,476/416,292
  6. Step 6: Final answer
    x = 1,956,895.22

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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.