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Finding the Third Proportional to 992,886.75 and 1,534,262.25

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Solution

The third proportional to 992,886.75 and 1,534,262.25 is: 2,370,824.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,886.75 : 1,534,262.25 = 1,534,262.25 : x
  2. Step 2: Convert to fraction form
    992,886.75/1,534,262.25 = 1,534,262.25/x
  3. Step 3: Cross multiply
    992,886.75x = 1,534,262.25 × 1,534,262.25
  4. Step 4: Simplify right side
    992,886.75x = 2,353,960,651,775.06
  5. Step 5: Solve for x
    x = 2,353,960,651,775.06/992,886.75
  6. Step 6: Final answer
    x = 2,370,824.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.