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Finding the Third Proportional to 653,904 and 999,864

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Solution

The third proportional to 653,904 and 999,864 is: 1,528,860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,904 : 999,864 = 999,864 : x
  2. Step 2: Convert to fraction form
    653,904/999,864 = 999,864/x
  3. Step 3: Cross multiply
    653,904x = 999,864 × 999,864
  4. Step 4: Simplify right side
    653,904x = 999,728,018,496
  5. Step 5: Solve for x
    x = 999,728,018,496/653,904
  6. Step 6: Final answer
    x = 1,528,860.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.