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Finding the Third Proportional to 1,429,078 and 3,146,022

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Solution

The third proportional to 1,429,078 and 3,146,022 is: 6,925,762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,078 : 3,146,022 = 3,146,022 : x
  2. Step 2: Convert to fraction form
    1,429,078/3,146,022 = 3,146,022/x
  3. Step 3: Cross multiply
    1,429,078x = 3,146,022 × 3,146,022
  4. Step 4: Simplify right side
    1,429,078x = 9,897,454,424,484
  5. Step 5: Solve for x
    x = 9,897,454,424,484/1,429,078
  6. Step 6: Final answer
    x = 6,925,762.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.