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Finding the Third Proportional to 411,226.31 and 917,004.19

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Solution

The third proportional to 411,226.31 and 917,004.19 is: 2,044,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,226.31 : 917,004.19 = 917,004.19 : x
  2. Step 2: Convert to fraction form
    411,226.31/917,004.19 = 917,004.19/x
  3. Step 3: Cross multiply
    411,226.31x = 917,004.19 × 917,004.19
  4. Step 4: Simplify right side
    411,226.31x = 840,896,679,892.54
  5. Step 5: Solve for x
    x = 840,896,679,892.54/411,226.31
  6. Step 6: Final answer
    x = 2,044,851.35

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.