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Finding the Third Proportional to 2,356,422 and 3,686,265

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Solution

The third proportional to 2,356,422 and 3,686,265 is: 5,766,602.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356,422 : 3,686,265 = 3,686,265 : x
  2. Step 2: Convert to fraction form
    2,356,422/3,686,265 = 3,686,265/x
  3. Step 3: Cross multiply
    2,356,422x = 3,686,265 × 3,686,265
  4. Step 4: Simplify right side
    2,356,422x = 13,588,549,650,225
  5. Step 5: Solve for x
    x = 13,588,549,650,225/2,356,422
  6. Step 6: Final answer
    x = 5,766,602.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.