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Finding the Third Proportional to 932,319 and 2,041,812

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Solution

The third proportional to 932,319 and 2,041,812 is: 4,471,641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,319 : 2,041,812 = 2,041,812 : x
  2. Step 2: Convert to fraction form
    932,319/2,041,812 = 2,041,812/x
  3. Step 3: Cross multiply
    932,319x = 2,041,812 × 2,041,812
  4. Step 4: Simplify right side
    932,319x = 4,168,996,243,344
  5. Step 5: Solve for x
    x = 4,168,996,243,344/932,319
  6. Step 6: Final answer
    x = 4,471,641.41

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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.