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Finding the Third Proportional to 417,040 and 910,533

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Solution

The third proportional to 417,040 and 910,533 is: 1,987,987.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,040 : 910,533 = 910,533 : x
  2. Step 2: Convert to fraction form
    417,040/910,533 = 910,533/x
  3. Step 3: Cross multiply
    417,040x = 910,533 × 910,533
  4. Step 4: Simplify right side
    417,040x = 829,070,344,089
  5. Step 5: Solve for x
    x = 829,070,344,089/417,040
  6. Step 6: Final answer
    x = 1,987,987.59

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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.