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Finding the Third Proportional to 736,427 and 1,142,950

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Solution

The third proportional to 736,427 and 1,142,950 is: 1,773,882.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,427 : 1,142,950 = 1,142,950 : x
  2. Step 2: Convert to fraction form
    736,427/1,142,950 = 1,142,950/x
  3. Step 3: Cross multiply
    736,427x = 1,142,950 × 1,142,950
  4. Step 4: Simplify right side
    736,427x = 1,306,334,702,500
  5. Step 5: Solve for x
    x = 1,306,334,702,500/736,427
  6. Step 6: Final answer
    x = 1,773,882.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.