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Finding the Third Proportional to 560,795 and 1,216,239

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Solution

The third proportional to 560,795 and 1,216,239 is: 2,637,750.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,795 : 1,216,239 = 1,216,239 : x
  2. Step 2: Convert to fraction form
    560,795/1,216,239 = 1,216,239/x
  3. Step 3: Cross multiply
    560,795x = 1,216,239 × 1,216,239
  4. Step 4: Simplify right side
    560,795x = 1,479,237,305,121
  5. Step 5: Solve for x
    x = 1,479,237,305,121/560,795
  6. Step 6: Final answer
    x = 2,637,750.52

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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.