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Finding the Third Proportional to 1,310,514 and 2,803,189.50

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Solution

The third proportional to 1,310,514 and 2,803,189.50 is: 5,996,022.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,514 : 2,803,189.50 = 2,803,189.50 : x
  2. Step 2: Convert to fraction form
    1,310,514/2,803,189.50 = 2,803,189.50/x
  3. Step 3: Cross multiply
    1,310,514x = 2,803,189.50 × 2,803,189.50
  4. Step 4: Simplify right side
    1,310,514x = 7,857,871,372,910.25
  5. Step 5: Solve for x
    x = 7,857,871,372,910.25/1,310,514
  6. Step 6: Final answer
    x = 5,996,022.46

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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.