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Finding the Third Proportional to 1,299,055.22 and 2,016,364.64

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Solution

The third proportional to 1,299,055.22 and 2,016,364.64 is: 3,129,756.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,055.22 : 2,016,364.64 = 2,016,364.64 : x
  2. Step 2: Convert to fraction form
    1,299,055.22/2,016,364.64 = 2,016,364.64/x
  3. Step 3: Cross multiply
    1,299,055.22x = 2,016,364.64 × 2,016,364.64
  4. Step 4: Simplify right side
    1,299,055.22x = 4,065,726,363,962.79
  5. Step 5: Solve for x
    x = 4,065,726,363,962.79/1,299,055.22
  6. Step 6: Final answer
    x = 3,129,756.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.