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Finding the Third Proportional to 1,188,315.56 and 2,566,009.13

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Solution

The third proportional to 1,188,315.56 and 2,566,009.13 is: 5,540,954.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,315.56 : 2,566,009.13 = 2,566,009.13 : x
  2. Step 2: Convert to fraction form
    1,188,315.56/2,566,009.13 = 2,566,009.13/x
  3. Step 3: Cross multiply
    1,188,315.56x = 2,566,009.13 × 2,566,009.13
  4. Step 4: Simplify right side
    1,188,315.56x = 6,584,402,829,583.27
  5. Step 5: Solve for x
    x = 6,584,402,829,583.27/1,188,315.56
  6. Step 6: Final answer
    x = 5,540,954.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.