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Finding the Third Proportional to 992,928 and 1,534,320

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Solution

The third proportional to 992,928 and 1,534,320 is: 2,370,904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,928 : 1,534,320 = 1,534,320 : x
  2. Step 2: Convert to fraction form
    992,928/1,534,320 = 1,534,320/x
  3. Step 3: Cross multiply
    992,928x = 1,534,320 × 1,534,320
  4. Step 4: Simplify right side
    992,928x = 2,354,137,862,400
  5. Step 5: Solve for x
    x = 2,354,137,862,400/992,928
  6. Step 6: Final answer
    x = 2,370,904.90

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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.