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Finding the Third Proportional to 991,770.75 and 1,473,076.13

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Solution

The third proportional to 991,770.75 and 1,473,076.13 is: 2,187,958.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,770.75 : 1,473,076.13 = 1,473,076.13 : x
  2. Step 2: Convert to fraction form
    991,770.75/1,473,076.13 = 1,473,076.13/x
  3. Step 3: Cross multiply
    991,770.75x = 1,473,076.13 × 1,473,076.13
  4. Step 4: Simplify right side
    991,770.75x = 2,169,953,270,045.02
  5. Step 5: Solve for x
    x = 2,169,953,270,045.02/991,770.75
  6. Step 6: Final answer
    x = 2,187,958.53

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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.