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Finding the Third Proportional to 858,123 and 1,165,442

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Solution

The third proportional to 858,123 and 1,165,442 is: 1,582,820.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,123 : 1,165,442 = 1,165,442 : x
  2. Step 2: Convert to fraction form
    858,123/1,165,442 = 1,165,442/x
  3. Step 3: Cross multiply
    858,123x = 1,165,442 × 1,165,442
  4. Step 4: Simplify right side
    858,123x = 1,358,255,055,364
  5. Step 5: Solve for x
    x = 1,358,255,055,364/858,123
  6. Step 6: Final answer
    x = 1,582,820.94

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.