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Finding the Third Proportional to 1,473,419.48 and 3,220,748.02

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Solution

The third proportional to 1,473,419.48 and 3,220,748.02 is: 7,040,233.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473,419.48 : 3,220,748.02 = 3,220,748.02 : x
  2. Step 2: Convert to fraction form
    1,473,419.48/3,220,748.02 = 3,220,748.02/x
  3. Step 3: Cross multiply
    1,473,419.48x = 3,220,748.02 × 3,220,748.02
  4. Step 4: Simplify right side
    1,473,419.48x = 10,373,217,780,152.38
  5. Step 5: Solve for x
    x = 10,373,217,780,152.38/1,473,419.48
  6. Step 6: Final answer
    x = 7,040,233.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.