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Finding the Third Proportional to 423,511 and 930,982

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Solution

The third proportional to 423,511 and 930,982 is: 2,046,528.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,511 : 930,982 = 930,982 : x
  2. Step 2: Convert to fraction form
    423,511/930,982 = 930,982/x
  3. Step 3: Cross multiply
    423,511x = 930,982 × 930,982
  4. Step 4: Simplify right side
    423,511x = 866,727,484,324
  5. Step 5: Solve for x
    x = 866,727,484,324/423,511
  6. Step 6: Final answer
    x = 2,046,528.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.