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Finding the Third Proportional to 704,421 and 1,523,700

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Solution

The third proportional to 704,421 and 1,523,700 is: 3,295,843.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,421 : 1,523,700 = 1,523,700 : x
  2. Step 2: Convert to fraction form
    704,421/1,523,700 = 1,523,700/x
  3. Step 3: Cross multiply
    704,421x = 1,523,700 × 1,523,700
  4. Step 4: Simplify right side
    704,421x = 2,321,661,690,000
  5. Step 5: Solve for x
    x = 2,321,661,690,000/704,421
  6. Step 6: Final answer
    x = 3,295,843.95

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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.