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Finding the Third Proportional to 581,100 and 1,265,124

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Solution

The third proportional to 581,100 and 1,265,124 is: 2,754,325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,100 : 1,265,124 = 1,265,124 : x
  2. Step 2: Convert to fraction form
    581,100/1,265,124 = 1,265,124/x
  3. Step 3: Cross multiply
    581,100x = 1,265,124 × 1,265,124
  4. Step 4: Simplify right side
    581,100x = 1,600,538,735,376
  5. Step 5: Solve for x
    x = 1,600,538,735,376/581,100
  6. Step 6: Final answer
    x = 2,754,325.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.