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Finding the Third Proportional to 417,291 and 900,966

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Solution

The third proportional to 417,291 and 900,966 is: 1,945,260.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,291 : 900,966 = 900,966 : x
  2. Step 2: Convert to fraction form
    417,291/900,966 = 900,966/x
  3. Step 3: Cross multiply
    417,291x = 900,966 × 900,966
  4. Step 4: Simplify right side
    417,291x = 811,739,733,156
  5. Step 5: Solve for x
    x = 811,739,733,156/417,291
  6. Step 6: Final answer
    x = 1,945,260.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.