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Finding the Third Proportional to 611,841 and 1,312,257

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Solution

The third proportional to 611,841 and 1,312,257 is: 2,814,486.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,841 : 1,312,257 = 1,312,257 : x
  2. Step 2: Convert to fraction form
    611,841/1,312,257 = 1,312,257/x
  3. Step 3: Cross multiply
    611,841x = 1,312,257 × 1,312,257
  4. Step 4: Simplify right side
    611,841x = 1,722,018,434,049
  5. Step 5: Solve for x
    x = 1,722,018,434,049/611,841
  6. Step 6: Final answer
    x = 2,814,486.83

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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.