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Finding the Third Proportional to 671,260 and 1,016,639

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Solution

The third proportional to 671,260 and 1,016,639 is: 1,539,723.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,260 : 1,016,639 = 1,016,639 : x
  2. Step 2: Convert to fraction form
    671,260/1,016,639 = 1,016,639/x
  3. Step 3: Cross multiply
    671,260x = 1,016,639 × 1,016,639
  4. Step 4: Simplify right side
    671,260x = 1,033,554,856,321
  5. Step 5: Solve for x
    x = 1,033,554,856,321/671,260
  6. Step 6: Final answer
    x = 1,539,723.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.