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Finding the Third Proportional to 597,982 and 926,862

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Solution

The third proportional to 597,982 and 926,862 is: 1,436,620.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,982 : 926,862 = 926,862 : x
  2. Step 2: Convert to fraction form
    597,982/926,862 = 926,862/x
  3. Step 3: Cross multiply
    597,982x = 926,862 × 926,862
  4. Step 4: Simplify right side
    597,982x = 859,073,167,044
  5. Step 5: Solve for x
    x = 859,073,167,044/597,982
  6. Step 6: Final answer
    x = 1,436,620.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.