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Finding the Third Proportional to 1,413,890 and 2,141,427

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Solution

The third proportional to 1,413,890 and 2,141,427 is: 3,243,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413,890 : 2,141,427 = 2,141,427 : x
  2. Step 2: Convert to fraction form
    1,413,890/2,141,427 = 2,141,427/x
  3. Step 3: Cross multiply
    1,413,890x = 2,141,427 × 2,141,427
  4. Step 4: Simplify right side
    1,413,890x = 4,585,709,596,329
  5. Step 5: Solve for x
    x = 4,585,709,596,329/1,413,890
  6. Step 6: Final answer
    x = 3,243,328.40

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