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Finding the Third Proportional to 749,402 and 1,142,876

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Solution

The third proportional to 749,402 and 1,142,876 is: 1,742,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,402 : 1,142,876 = 1,142,876 : x
  2. Step 2: Convert to fraction form
    749,402/1,142,876 = 1,142,876/x
  3. Step 3: Cross multiply
    749,402x = 1,142,876 × 1,142,876
  4. Step 4: Simplify right side
    749,402x = 1,306,165,551,376
  5. Step 5: Solve for x
    x = 1,306,165,551,376/749,402
  6. Step 6: Final answer
    x = 1,742,943.78

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.