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Finding the Third Proportional to 1,314,569 and 2,029,890

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Solution

The third proportional to 1,314,569 and 2,029,890 is: 3,134,451.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,569 : 2,029,890 = 2,029,890 : x
  2. Step 2: Convert to fraction form
    1,314,569/2,029,890 = 2,029,890/x
  3. Step 3: Cross multiply
    1,314,569x = 2,029,890 × 2,029,890
  4. Step 4: Simplify right side
    1,314,569x = 4,120,453,412,100
  5. Step 5: Solve for x
    x = 4,120,453,412,100/1,314,569
  6. Step 6: Final answer
    x = 3,134,451.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.