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Finding the Third Proportional to 485,952.54 and 1,056,715.40

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Solution

The third proportional to 485,952.54 and 1,056,715.40 is: 2,297,852.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,952.54 : 1,056,715.40 = 1,056,715.40 : x
  2. Step 2: Convert to fraction form
    485,952.54/1,056,715.40 = 1,056,715.40/x
  3. Step 3: Cross multiply
    485,952.54x = 1,056,715.40 × 1,056,715.40
  4. Step 4: Simplify right side
    485,952.54x = 1,116,647,437,422.67
  5. Step 5: Solve for x
    x = 1,116,647,437,422.67/485,952.54
  6. Step 6: Final answer
    x = 2,297,852.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.