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Finding the Third Proportional to 530,982 and 1,146,486

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Solution

The third proportional to 530,982 and 1,146,486 is: 2,475,470.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,982 : 1,146,486 = 1,146,486 : x
  2. Step 2: Convert to fraction form
    530,982/1,146,486 = 1,146,486/x
  3. Step 3: Cross multiply
    530,982x = 1,146,486 × 1,146,486
  4. Step 4: Simplify right side
    530,982x = 1,314,430,148,196
  5. Step 5: Solve for x
    x = 1,314,430,148,196/530,982
  6. Step 6: Final answer
    x = 2,475,470.26

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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.