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Finding the Third Proportional to 1,328,353.13 and 2,751,225.38

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Solution

The third proportional to 1,328,353.13 and 2,751,225.38 is: 5,698,214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328,353.13 : 2,751,225.38 = 2,751,225.38 : x
  2. Step 2: Convert to fraction form
    1,328,353.13/2,751,225.38 = 2,751,225.38/x
  3. Step 3: Cross multiply
    1,328,353.13x = 2,751,225.38 × 2,751,225.38
  4. Step 4: Simplify right side
    1,328,353.13x = 7,569,241,064,043.89
  5. Step 5: Solve for x
    x = 7,569,241,064,043.89/1,328,353.13
  6. Step 6: Final answer
    x = 5,698,214.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.