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Finding the Third Proportional to 932,015 and 2,038,477

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Solution

The third proportional to 932,015 and 2,038,477 is: 4,458,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,015 : 2,038,477 = 2,038,477 : x
  2. Step 2: Convert to fraction form
    932,015/2,038,477 = 2,038,477/x
  3. Step 3: Cross multiply
    932,015x = 2,038,477 × 2,038,477
  4. Step 4: Simplify right side
    932,015x = 4,155,388,479,529
  5. Step 5: Solve for x
    x = 4,155,388,479,529/932,015
  6. Step 6: Final answer
    x = 4,458,499.57

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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.