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Finding the Third Proportional to 1,310,467 and 2,803,101

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Solution

The third proportional to 1,310,467 and 2,803,101 is: 5,995,858.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,467 : 2,803,101 = 2,803,101 : x
  2. Step 2: Convert to fraction form
    1,310,467/2,803,101 = 2,803,101/x
  3. Step 3: Cross multiply
    1,310,467x = 2,803,101 × 2,803,101
  4. Step 4: Simplify right side
    1,310,467x = 7,857,375,216,201
  5. Step 5: Solve for x
    x = 7,857,375,216,201/1,310,467
  6. Step 6: Final answer
    x = 5,995,858.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.