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Finding the Third Proportional to 611,846 and 1,312,263

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Solution

The third proportional to 611,846 and 1,312,263 is: 2,814,489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,846 : 1,312,263 = 1,312,263 : x
  2. Step 2: Convert to fraction form
    611,846/1,312,263 = 1,312,263/x
  3. Step 3: Cross multiply
    611,846x = 1,312,263 × 1,312,263
  4. Step 4: Simplify right side
    611,846x = 1,722,034,181,169
  5. Step 5: Solve for x
    x = 1,722,034,181,169/611,846
  6. Step 6: Final answer
    x = 2,814,489.56

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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.