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Finding the Third Proportional to 2,660,127 and 4,127,409

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Solution

The third proportional to 2,660,127 and 4,127,409 is: 6,404,019.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660,127 : 4,127,409 = 4,127,409 : x
  2. Step 2: Convert to fraction form
    2,660,127/4,127,409 = 4,127,409/x
  3. Step 3: Cross multiply
    2,660,127x = 4,127,409 × 4,127,409
  4. Step 4: Simplify right side
    2,660,127x = 17,035,505,053,281
  5. Step 5: Solve for x
    x = 17,035,505,053,281/2,660,127
  6. Step 6: Final answer
    x = 6,404,019.45

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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.