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Finding the Third Proportional to 1,390,118.91 and 2,080,144.13

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Solution

The third proportional to 1,390,118.91 and 2,080,144.13 is: 3,112,683.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390,118.91 : 2,080,144.13 = 2,080,144.13 : x
  2. Step 2: Convert to fraction form
    1,390,118.91/2,080,144.13 = 2,080,144.13/x
  3. Step 3: Cross multiply
    1,390,118.91x = 2,080,144.13 × 2,080,144.13
  4. Step 4: Simplify right side
    1,390,118.91x = 4,326,999,580,772.02
  5. Step 5: Solve for x
    x = 4,326,999,580,772.02/1,390,118.91
  6. Step 6: Final answer
    x = 3,112,683.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.