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Finding the Third Proportional to 992,904 and 1,534,287

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Solution

The third proportional to 992,904 and 1,534,287 is: 2,370,860.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,904 : 1,534,287 = 1,534,287 : x
  2. Step 2: Convert to fraction form
    992,904/1,534,287 = 1,534,287/x
  3. Step 3: Cross multiply
    992,904x = 1,534,287 × 1,534,287
  4. Step 4: Simplify right side
    992,904x = 2,354,036,598,369
  5. Step 5: Solve for x
    x = 2,354,036,598,369/992,904
  6. Step 6: Final answer
    x = 2,370,860.22

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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.