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Finding the Third Proportional to 559,218 and 1,216,740

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Solution

The third proportional to 559,218 and 1,216,740 is: 2,647,368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,218 : 1,216,740 = 1,216,740 : x
  2. Step 2: Convert to fraction form
    559,218/1,216,740 = 1,216,740/x
  3. Step 3: Cross multiply
    559,218x = 1,216,740 × 1,216,740
  4. Step 4: Simplify right side
    559,218x = 1,480,456,227,600
  5. Step 5: Solve for x
    x = 1,480,456,227,600/559,218
  6. Step 6: Final answer
    x = 2,647,368.70

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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.