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Finding the Third Proportional to 540,317 and 1,250,737

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Solution

The third proportional to 540,317 and 1,250,737 is: 2,895,231.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,317 : 1,250,737 = 1,250,737 : x
  2. Step 2: Convert to fraction form
    540,317/1,250,737 = 1,250,737/x
  3. Step 3: Cross multiply
    540,317x = 1,250,737 × 1,250,737
  4. Step 4: Simplify right side
    540,317x = 1,564,343,043,169
  5. Step 5: Solve for x
    x = 1,564,343,043,169/540,317
  6. Step 6: Final answer
    x = 2,895,231.95

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.