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Finding the Third Proportional to 2,144,584.13 and 3,343,480.88

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Solution

The third proportional to 2,144,584.13 and 3,343,480.88 is: 5,212,602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144,584.13 : 3,343,480.88 = 3,343,480.88 : x
  2. Step 2: Convert to fraction form
    2,144,584.13/3,343,480.88 = 3,343,480.88/x
  3. Step 3: Cross multiply
    2,144,584.13x = 3,343,480.88 × 3,343,480.88
  4. Step 4: Simplify right side
    2,144,584.13x = 11,178,864,361,490.77
  5. Step 5: Solve for x
    x = 11,178,864,361,490.77/2,144,584.13
  6. Step 6: Final answer
    x = 5,212,602.40

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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.