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Finding the Third Proportional to 2,032,293.56 and 2,972,142

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Solution

The third proportional to 2,032,293.56 and 2,972,142 is: 4,346,629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032,293.56 : 2,972,142 = 2,972,142 : x
  2. Step 2: Convert to fraction form
    2,032,293.56/2,972,142 = 2,972,142/x
  3. Step 3: Cross multiply
    2,032,293.56x = 2,972,142 × 2,972,142
  4. Step 4: Simplify right side
    2,032,293.56x = 8,833,628,068,164
  5. Step 5: Solve for x
    x = 8,833,628,068,164/2,032,293.56
  6. Step 6: Final answer
    x = 4,346,629.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.