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Finding the Third Proportional to 1,456,938 and 2,205,719

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Solution

The third proportional to 1,456,938 and 2,205,719 is: 3,339,329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,938 : 2,205,719 = 2,205,719 : x
  2. Step 2: Convert to fraction form
    1,456,938/2,205,719 = 2,205,719/x
  3. Step 3: Cross multiply
    1,456,938x = 2,205,719 × 2,205,719
  4. Step 4: Simplify right side
    1,456,938x = 4,865,196,306,961
  5. Step 5: Solve for x
    x = 4,865,196,306,961/1,456,938
  6. Step 6: Final answer
    x = 3,339,329.68

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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.