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Finding the Third Proportional to 991,782 and 1,473,084

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Solution

The third proportional to 991,782 and 1,473,084 is: 2,187,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,782 : 1,473,084 = 1,473,084 : x
  2. Step 2: Convert to fraction form
    991,782/1,473,084 = 1,473,084/x
  3. Step 3: Cross multiply
    991,782x = 1,473,084 × 1,473,084
  4. Step 4: Simplify right side
    991,782x = 2,169,976,471,056
  5. Step 5: Solve for x
    x = 2,169,976,471,056/991,782
  6. Step 6: Final answer
    x = 2,187,957.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.