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Finding the Third Proportional to 858,072 and 1,285,452

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Solution

The third proportional to 858,072 and 1,285,452 is: 1,925,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,072 : 1,285,452 = 1,285,452 : x
  2. Step 2: Convert to fraction form
    858,072/1,285,452 = 1,285,452/x
  3. Step 3: Cross multiply
    858,072x = 1,285,452 × 1,285,452
  4. Step 4: Simplify right side
    858,072x = 1,652,386,844,304
  5. Step 5: Solve for x
    x = 1,652,386,844,304/858,072
  6. Step 6: Final answer
    x = 1,925,697.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.