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Finding the Third Proportional to 704,097 and 1,520,442

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Solution

The third proportional to 704,097 and 1,520,442 is: 3,283,274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,097 : 1,520,442 = 1,520,442 : x
  2. Step 2: Convert to fraction form
    704,097/1,520,442 = 1,520,442/x
  3. Step 3: Cross multiply
    704,097x = 1,520,442 × 1,520,442
  4. Step 4: Simplify right side
    704,097x = 2,311,743,875,364
  5. Step 5: Solve for x
    x = 2,311,743,875,364/704,097
  6. Step 6: Final answer
    x = 3,283,274.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.