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Finding the Third Proportional to 613,655 and 1,312,597

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Solution

The third proportional to 613,655 and 1,312,597 is: 2,807,621.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,655 : 1,312,597 = 1,312,597 : x
  2. Step 2: Convert to fraction form
    613,655/1,312,597 = 1,312,597/x
  3. Step 3: Cross multiply
    613,655x = 1,312,597 × 1,312,597
  4. Step 4: Simplify right side
    613,655x = 1,722,910,884,409
  5. Step 5: Solve for x
    x = 1,722,910,884,409/613,655
  6. Step 6: Final answer
    x = 2,807,621.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.