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Finding the Third Proportional to 559,222 and 1,216,748

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Solution

The third proportional to 559,222 and 1,216,748 is: 2,647,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,222 : 1,216,748 = 1,216,748 : x
  2. Step 2: Convert to fraction form
    559,222/1,216,748 = 1,216,748/x
  3. Step 3: Cross multiply
    559,222x = 1,216,748 × 1,216,748
  4. Step 4: Simplify right side
    559,222x = 1,480,475,695,504
  5. Step 5: Solve for x
    x = 1,480,475,695,504/559,222
  6. Step 6: Final answer
    x = 2,647,384.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.