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Finding the Third Proportional to 1,056,564 and 2,285,415

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Solution

The third proportional to 1,056,564 and 2,285,415 is: 4,943,497.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056,564 : 2,285,415 = 2,285,415 : x
  2. Step 2: Convert to fraction form
    1,056,564/2,285,415 = 2,285,415/x
  3. Step 3: Cross multiply
    1,056,564x = 2,285,415 × 2,285,415
  4. Step 4: Simplify right side
    1,056,564x = 5,223,121,722,225
  5. Step 5: Solve for x
    x = 5,223,121,722,225/1,056,564
  6. Step 6: Final answer
    x = 4,943,497.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.