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Finding the Third Proportional to 704,049.47 and 1,445,423.06

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Solution

The third proportional to 704,049.47 and 1,445,423.06 is: 2,967,473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,049.47 : 1,445,423.06 = 1,445,423.06 : x
  2. Step 2: Convert to fraction form
    704,049.47/1,445,423.06 = 1,445,423.06/x
  3. Step 3: Cross multiply
    704,049.47x = 1,445,423.06 × 1,445,423.06
  4. Step 4: Simplify right side
    704,049.47x = 2,089,247,829,606.88
  5. Step 5: Solve for x
    x = 2,089,247,829,606.88/704,049.47
  6. Step 6: Final answer
    x = 2,967,473.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.