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Finding the Third Proportional to 464,918 and 982,060

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Solution

The third proportional to 464,918 and 982,060 is: 2,074,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,918 : 982,060 = 982,060 : x
  2. Step 2: Convert to fraction form
    464,918/982,060 = 982,060/x
  3. Step 3: Cross multiply
    464,918x = 982,060 × 982,060
  4. Step 4: Simplify right side
    464,918x = 964,441,843,600
  5. Step 5: Solve for x
    x = 964,441,843,600/464,918
  6. Step 6: Final answer
    x = 2,074,434.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.