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Finding the Third Proportional to 747,948 and 1,645,476

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Solution

The third proportional to 747,948 and 1,645,476 is: 3,620,026.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,948 : 1,645,476 = 1,645,476 : x
  2. Step 2: Convert to fraction form
    747,948/1,645,476 = 1,645,476/x
  3. Step 3: Cross multiply
    747,948x = 1,645,476 × 1,645,476
  4. Step 4: Simplify right side
    747,948x = 2,707,591,266,576
  5. Step 5: Solve for x
    x = 2,707,591,266,576/747,948
  6. Step 6: Final answer
    x = 3,620,026.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.