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Finding the Third Proportional to 624,294 and 1,343,277

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Solution

The third proportional to 624,294 and 1,343,277 is: 2,890,293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,294 : 1,343,277 = 1,343,277 : x
  2. Step 2: Convert to fraction form
    624,294/1,343,277 = 1,343,277/x
  3. Step 3: Cross multiply
    624,294x = 1,343,277 × 1,343,277
  4. Step 4: Simplify right side
    624,294x = 1,804,393,098,729
  5. Step 5: Solve for x
    x = 1,804,393,098,729/624,294
  6. Step 6: Final answer
    x = 2,890,293.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.