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Finding the Third Proportional to 747,278 and 1,048,579

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Solution

The third proportional to 747,278 and 1,048,579 is: 1,471,363.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,278 : 1,048,579 = 1,048,579 : x
  2. Step 2: Convert to fraction form
    747,278/1,048,579 = 1,048,579/x
  3. Step 3: Cross multiply
    747,278x = 1,048,579 × 1,048,579
  4. Step 4: Simplify right side
    747,278x = 1,099,517,919,241
  5. Step 5: Solve for x
    x = 1,099,517,919,241/747,278
  6. Step 6: Final answer
    x = 1,471,363.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.