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Finding the Third Proportional to 1,204,552 and 2,378,640

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Solution

The third proportional to 1,204,552 and 2,378,640 is: 4,697,122.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,552 : 2,378,640 = 2,378,640 : x
  2. Step 2: Convert to fraction form
    1,204,552/2,378,640 = 2,378,640/x
  3. Step 3: Cross multiply
    1,204,552x = 2,378,640 × 2,378,640
  4. Step 4: Simplify right side
    1,204,552x = 5,657,928,249,600
  5. Step 5: Solve for x
    x = 5,657,928,249,600/1,204,552
  6. Step 6: Final answer
    x = 4,697,122.46

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.