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Finding the Third Proportional to 417,029 and 910,522

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Solution

The third proportional to 417,029 and 910,522 is: 1,987,991.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,029 : 910,522 = 910,522 : x
  2. Step 2: Convert to fraction form
    417,029/910,522 = 910,522/x
  3. Step 3: Cross multiply
    417,029x = 910,522 × 910,522
  4. Step 4: Simplify right side
    417,029x = 829,050,312,484
  5. Step 5: Solve for x
    x = 829,050,312,484/417,029
  6. Step 6: Final answer
    x = 1,987,991.99

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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.