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Finding the Third Proportional to 613,708 and 1,312,710

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Solution

The third proportional to 613,708 and 1,312,710 is: 2,807,862.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,708 : 1,312,710 = 1,312,710 : x
  2. Step 2: Convert to fraction form
    613,708/1,312,710 = 1,312,710/x
  3. Step 3: Cross multiply
    613,708x = 1,312,710 × 1,312,710
  4. Step 4: Simplify right side
    613,708x = 1,723,207,544,100
  5. Step 5: Solve for x
    x = 1,723,207,544,100/613,708
  6. Step 6: Final answer
    x = 2,807,862.28

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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.