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Finding the Third Proportional to 760,947.86 and 1,204,046.02

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Solution

The third proportional to 760,947.86 and 1,204,046.02 is: 1,905,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,947.86 : 1,204,046.02 = 1,204,046.02 : x
  2. Step 2: Convert to fraction form
    760,947.86/1,204,046.02 = 1,204,046.02/x
  3. Step 3: Cross multiply
    760,947.86x = 1,204,046.02 × 1,204,046.02
  4. Step 4: Simplify right side
    760,947.86x = 1,449,726,807,742.44
  5. Step 5: Solve for x
    x = 1,449,726,807,742.44/760,947.86
  6. Step 6: Final answer
    x = 1,905,159.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.