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Finding the Third Proportional to 585,171 and 1,257,639

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Solution

The third proportional to 585,171 and 1,257,639 is: 2,702,895.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,171 : 1,257,639 = 1,257,639 : x
  2. Step 2: Convert to fraction form
    585,171/1,257,639 = 1,257,639/x
  3. Step 3: Cross multiply
    585,171x = 1,257,639 × 1,257,639
  4. Step 4: Simplify right side
    585,171x = 1,581,655,854,321
  5. Step 5: Solve for x
    x = 1,581,655,854,321/585,171
  6. Step 6: Final answer
    x = 2,702,895.14

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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.