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Finding the Third Proportional to 413,487 and 900,810

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Solution

The third proportional to 413,487 and 900,810 is: 1,962,476.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,487 : 900,810 = 900,810 : x
  2. Step 2: Convert to fraction form
    413,487/900,810 = 900,810/x
  3. Step 3: Cross multiply
    413,487x = 900,810 × 900,810
  4. Step 4: Simplify right side
    413,487x = 811,458,656,100
  5. Step 5: Solve for x
    x = 811,458,656,100/413,487
  6. Step 6: Final answer
    x = 1,962,476.83

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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.