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Finding the Third Proportional to 1,177,489 and 2,535,403

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Solution

The third proportional to 1,177,489 and 2,535,403 is: 5,459,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177,489 : 2,535,403 = 2,535,403 : x
  2. Step 2: Convert to fraction form
    1,177,489/2,535,403 = 2,535,403/x
  3. Step 3: Cross multiply
    1,177,489x = 2,535,403 × 2,535,403
  4. Step 4: Simplify right side
    1,177,489x = 6,428,268,372,409
  5. Step 5: Solve for x
    x = 6,428,268,372,409/1,177,489
  6. Step 6: Final answer
    x = 5,459,302.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.