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Finding the Third Proportional to 623,458 and 1,363,580

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Solution

The third proportional to 623,458 and 1,363,580 is: 2,982,318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,458 : 1,363,580 = 1,363,580 : x
  2. Step 2: Convert to fraction form
    623,458/1,363,580 = 1,363,580/x
  3. Step 3: Cross multiply
    623,458x = 1,363,580 × 1,363,580
  4. Step 4: Simplify right side
    623,458x = 1,859,350,416,400
  5. Step 5: Solve for x
    x = 1,859,350,416,400/623,458
  6. Step 6: Final answer
    x = 2,982,318.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.