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Finding the Third Proportional to 611,822 and 1,312,189

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Solution

The third proportional to 611,822 and 1,312,189 is: 2,814,282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,822 : 1,312,189 = 1,312,189 : x
  2. Step 2: Convert to fraction form
    611,822/1,312,189 = 1,312,189/x
  3. Step 3: Cross multiply
    611,822x = 1,312,189 × 1,312,189
  4. Step 4: Simplify right side
    611,822x = 1,721,839,971,721
  5. Step 5: Solve for x
    x = 1,721,839,971,721/611,822
  6. Step 6: Final answer
    x = 2,814,282.54

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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.