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Finding the Third Proportional to 613,710 and 1,312,716

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Solution

The third proportional to 613,710 and 1,312,716 is: 2,807,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,710 : 1,312,716 = 1,312,716 : x
  2. Step 2: Convert to fraction form
    613,710/1,312,716 = 1,312,716/x
  3. Step 3: Cross multiply
    613,710x = 1,312,716 × 1,312,716
  4. Step 4: Simplify right side
    613,710x = 1,723,223,296,656
  5. Step 5: Solve for x
    x = 1,723,223,296,656/613,710
  6. Step 6: Final answer
    x = 2,807,878.80

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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.