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Finding the Third Proportional to 2,315,039.17 and 3,438,978.48

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Solution

The third proportional to 2,315,039.17 and 3,438,978.48 is: 5,108,584.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315,039.17 : 3,438,978.48 = 3,438,978.48 : x
  2. Step 2: Convert to fraction form
    2,315,039.17/3,438,978.48 = 3,438,978.48/x
  3. Step 3: Cross multiply
    2,315,039.17x = 3,438,978.48 × 3,438,978.48
  4. Step 4: Simplify right side
    2,315,039.17x = 11,826,572,968,977.15
  5. Step 5: Solve for x
    x = 11,826,572,968,977.15/2,315,039.17
  6. Step 6: Final answer
    x = 5,108,584.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.