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Finding the Third Proportional to 1,473,419.63 and 3,220,748.31

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Solution

The third proportional to 1,473,419.63 and 3,220,748.31 is: 7,040,234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473,419.63 : 3,220,748.31 = 3,220,748.31 : x
  2. Step 2: Convert to fraction form
    1,473,419.63/3,220,748.31 = 3,220,748.31/x
  3. Step 3: Cross multiply
    1,473,419.63x = 3,220,748.31 × 3,220,748.31
  4. Step 4: Simplify right side
    1,473,419.63x = 10,373,219,692,471.60
  5. Step 5: Solve for x
    x = 10,373,219,692,471.60/1,473,419.63
  6. Step 6: Final answer
    x = 7,040,234.51

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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.