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Finding the Third Proportional to 634,600 and 1,384,957

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Solution

The third proportional to 634,600 and 1,384,957 is: 3,022,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,600 : 1,384,957 = 1,384,957 : x
  2. Step 2: Convert to fraction form
    634,600/1,384,957 = 1,384,957/x
  3. Step 3: Cross multiply
    634,600x = 1,384,957 × 1,384,957
  4. Step 4: Simplify right side
    634,600x = 1,918,105,891,849
  5. Step 5: Solve for x
    x = 1,918,105,891,849/634,600
  6. Step 6: Final answer
    x = 3,022,543.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.