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Finding the Third Proportional to 616,581 and 1,350,989

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Solution

The third proportional to 616,581 and 1,350,989 is: 2,960,148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,581 : 1,350,989 = 1,350,989 : x
  2. Step 2: Convert to fraction form
    616,581/1,350,989 = 1,350,989/x
  3. Step 3: Cross multiply
    616,581x = 1,350,989 × 1,350,989
  4. Step 4: Simplify right side
    616,581x = 1,825,171,278,121
  5. Step 5: Solve for x
    x = 1,825,171,278,121/616,581
  6. Step 6: Final answer
    x = 2,960,148.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.