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Finding the Third Proportional to 565,384 and 1,228,928

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Solution

The third proportional to 565,384 and 1,228,928 is: 2,671,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,384 : 1,228,928 = 1,228,928 : x
  2. Step 2: Convert to fraction form
    565,384/1,228,928 = 1,228,928/x
  3. Step 3: Cross multiply
    565,384x = 1,228,928 × 1,228,928
  4. Step 4: Simplify right side
    565,384x = 1,510,264,029,184
  5. Step 5: Solve for x
    x = 1,510,264,029,184/565,384
  6. Step 6: Final answer
    x = 2,671,218.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.