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Finding the Third Proportional to 963,900 and 1,442,934

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Solution

The third proportional to 963,900 and 1,442,934 is: 2,160,035.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,900 : 1,442,934 = 1,442,934 : x
  2. Step 2: Convert to fraction form
    963,900/1,442,934 = 1,442,934/x
  3. Step 3: Cross multiply
    963,900x = 1,442,934 × 1,442,934
  4. Step 4: Simplify right side
    963,900x = 2,082,058,528,356
  5. Step 5: Solve for x
    x = 2,082,058,528,356/963,900
  6. Step 6: Final answer
    x = 2,160,035.82

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