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Finding the Third Proportional to 931,876 and 2,038,226

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Solution

The third proportional to 931,876 and 2,038,226 is: 4,458,066.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,876 : 2,038,226 = 2,038,226 : x
  2. Step 2: Convert to fraction form
    931,876/2,038,226 = 2,038,226/x
  3. Step 3: Cross multiply
    931,876x = 2,038,226 × 2,038,226
  4. Step 4: Simplify right side
    931,876x = 4,154,365,227,076
  5. Step 5: Solve for x
    x = 4,154,365,227,076/931,876
  6. Step 6: Final answer
    x = 4,458,066.55

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Why These Related Problems?

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