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Finding the Third Proportional to 514,440 and 1,067,688

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Solution

The third proportional to 514,440 and 1,067,688 is: 2,215,919.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,440 : 1,067,688 = 1,067,688 : x
  2. Step 2: Convert to fraction form
    514,440/1,067,688 = 1,067,688/x
  3. Step 3: Cross multiply
    514,440x = 1,067,688 × 1,067,688
  4. Step 4: Simplify right side
    514,440x = 1,139,957,665,344
  5. Step 5: Solve for x
    x = 1,139,957,665,344/514,440
  6. Step 6: Final answer
    x = 2,215,919.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.