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Finding the Third Proportional to 610,269 and 1,329,028

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Solution

The third proportional to 610,269 and 1,329,028 is: 2,894,322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,269 : 1,329,028 = 1,329,028 : x
  2. Step 2: Convert to fraction form
    610,269/1,329,028 = 1,329,028/x
  3. Step 3: Cross multiply
    610,269x = 1,329,028 × 1,329,028
  4. Step 4: Simplify right side
    610,269x = 1,766,315,424,784
  5. Step 5: Solve for x
    x = 1,766,315,424,784/610,269
  6. Step 6: Final answer
    x = 2,894,322.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.