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Finding the Third Proportional to 858,429 and 1,812,534

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Solution

The third proportional to 858,429 and 1,812,534 is: 3,827,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,429 : 1,812,534 = 1,812,534 : x
  2. Step 2: Convert to fraction form
    858,429/1,812,534 = 1,812,534/x
  3. Step 3: Cross multiply
    858,429x = 1,812,534 × 1,812,534
  4. Step 4: Simplify right side
    858,429x = 3,285,279,501,156
  5. Step 5: Solve for x
    x = 3,285,279,501,156/858,429
  6. Step 6: Final answer
    x = 3,827,083.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.