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Finding the Third Proportional to 932,715 and 1,993,410

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Solution

The third proportional to 932,715 and 1,993,410 is: 4,260,340.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,715 : 1,993,410 = 1,993,410 : x
  2. Step 2: Convert to fraction form
    932,715/1,993,410 = 1,993,410/x
  3. Step 3: Cross multiply
    932,715x = 1,993,410 × 1,993,410
  4. Step 4: Simplify right side
    932,715x = 3,973,683,428,100
  5. Step 5: Solve for x
    x = 3,973,683,428,100/932,715
  6. Step 6: Final answer
    x = 4,260,340.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.