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Finding the Third Proportional to 913,041 and 1,424,835

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Solution

The third proportional to 913,041 and 1,424,835 is: 2,223,508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,041 : 1,424,835 = 1,424,835 : x
  2. Step 2: Convert to fraction form
    913,041/1,424,835 = 1,424,835/x
  3. Step 3: Cross multiply
    913,041x = 1,424,835 × 1,424,835
  4. Step 4: Simplify right side
    913,041x = 2,030,154,777,225
  5. Step 5: Solve for x
    x = 2,030,154,777,225/913,041
  6. Step 6: Final answer
    x = 2,223,508.89

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.