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Finding the Third Proportional to 563,334 and 1,223,820

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Solution

The third proportional to 563,334 and 1,223,820 is: 2,658,698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,334 : 1,223,820 = 1,223,820 : x
  2. Step 2: Convert to fraction form
    563,334/1,223,820 = 1,223,820/x
  3. Step 3: Cross multiply
    563,334x = 1,223,820 × 1,223,820
  4. Step 4: Simplify right side
    563,334x = 1,497,735,392,400
  5. Step 5: Solve for x
    x = 1,497,735,392,400/563,334
  6. Step 6: Final answer
    x = 2,658,698.73

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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.