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Finding the Third Proportional to 502,864 and 1,099,040

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Solution

The third proportional to 502,864 and 1,099,040 is: 2,402,019.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,864 : 1,099,040 = 1,099,040 : x
  2. Step 2: Convert to fraction form
    502,864/1,099,040 = 1,099,040/x
  3. Step 3: Cross multiply
    502,864x = 1,099,040 × 1,099,040
  4. Step 4: Simplify right side
    502,864x = 1,207,888,921,600
  5. Step 5: Solve for x
    x = 1,207,888,921,600/502,864
  6. Step 6: Final answer
    x = 2,402,019.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.