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Finding the Third Proportional to 646,791 and 1,360,606

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Solution

The third proportional to 646,791 and 1,360,606 is: 2,862,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,791 : 1,360,606 = 1,360,606 : x
  2. Step 2: Convert to fraction form
    646,791/1,360,606 = 1,360,606/x
  3. Step 3: Cross multiply
    646,791x = 1,360,606 × 1,360,606
  4. Step 4: Simplify right side
    646,791x = 1,851,248,687,236
  5. Step 5: Solve for x
    x = 1,851,248,687,236/646,791
  6. Step 6: Final answer
    x = 2,862,205.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.