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Finding the Third Proportional to 946,351.13 and 1,430,817.56

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Solution

The third proportional to 946,351.13 and 1,430,817.56 is: 2,163,297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,351.13 : 1,430,817.56 = 1,430,817.56 : x
  2. Step 2: Convert to fraction form
    946,351.13/1,430,817.56 = 1,430,817.56/x
  3. Step 3: Cross multiply
    946,351.13x = 1,430,817.56 × 1,430,817.56
  4. Step 4: Simplify right side
    946,351.13x = 2,047,238,897,158.44
  5. Step 5: Solve for x
    x = 2,047,238,897,158.44/946,351.13
  6. Step 6: Final answer
    x = 2,163,297.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.