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Finding the Third Proportional to 2,660,123 and 4,127,403

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Solution

The third proportional to 2,660,123 and 4,127,403 is: 6,404,010.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660,123 : 4,127,403 = 4,127,403 : x
  2. Step 2: Convert to fraction form
    2,660,123/4,127,403 = 4,127,403/x
  3. Step 3: Cross multiply
    2,660,123x = 4,127,403 × 4,127,403
  4. Step 4: Simplify right side
    2,660,123x = 17,035,455,524,409
  5. Step 5: Solve for x
    x = 17,035,455,524,409/2,660,123
  6. Step 6: Final answer
    x = 6,404,010.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.