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Finding the Third Proportional to 932,184 and 2,019,888

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Solution

The third proportional to 932,184 and 2,019,888 is: 4,376,762.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,184 : 2,019,888 = 2,019,888 : x
  2. Step 2: Convert to fraction form
    932,184/2,019,888 = 2,019,888/x
  3. Step 3: Cross multiply
    932,184x = 2,019,888 × 2,019,888
  4. Step 4: Simplify right side
    932,184x = 4,079,947,532,544
  5. Step 5: Solve for x
    x = 4,079,947,532,544/932,184
  6. Step 6: Final answer
    x = 4,376,762.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.