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Finding the Third Proportional to 613,656 and 1,312,608

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Solution

The third proportional to 613,656 and 1,312,608 is: 2,807,663.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,656 : 1,312,608 = 1,312,608 : x
  2. Step 2: Convert to fraction form
    613,656/1,312,608 = 1,312,608/x
  3. Step 3: Cross multiply
    613,656x = 1,312,608 × 1,312,608
  4. Step 4: Simplify right side
    613,656x = 1,722,939,761,664
  5. Step 5: Solve for x
    x = 1,722,939,761,664/613,656
  6. Step 6: Final answer
    x = 2,807,663.84

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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.