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Finding the Third Proportional to 1,230,187.50 and 1,656,076.50

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Solution

The third proportional to 1,230,187.50 and 1,656,076.50 is: 2,229,407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230,187.50 : 1,656,076.50 = 1,656,076.50 : x
  2. Step 2: Convert to fraction form
    1,230,187.50/1,656,076.50 = 1,656,076.50/x
  3. Step 3: Cross multiply
    1,230,187.50x = 1,656,076.50 × 1,656,076.50
  4. Step 4: Simplify right side
    1,230,187.50x = 2,742,589,373,852.25
  5. Step 5: Solve for x
    x = 2,742,589,373,852.25/1,230,187.50
  6. Step 6: Final answer
    x = 2,229,407.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.