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Finding the Third Proportional to 662,532 and 1,019,580

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Solution

The third proportional to 662,532 and 1,019,580 is: 1,569,046.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,532 : 1,019,580 = 1,019,580 : x
  2. Step 2: Convert to fraction form
    662,532/1,019,580 = 1,019,580/x
  3. Step 3: Cross multiply
    662,532x = 1,019,580 × 1,019,580
  4. Step 4: Simplify right side
    662,532x = 1,039,543,376,400
  5. Step 5: Solve for x
    x = 1,039,543,376,400/662,532
  6. Step 6: Final answer
    x = 1,569,046.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.