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Finding the Third Proportional to 753,914 and 1,643,376

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Solution

The third proportional to 753,914 and 1,643,376 is: 3,582,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,914 : 1,643,376 = 1,643,376 : x
  2. Step 2: Convert to fraction form
    753,914/1,643,376 = 1,643,376/x
  3. Step 3: Cross multiply
    753,914x = 1,643,376 × 1,643,376
  4. Step 4: Simplify right side
    753,914x = 2,700,684,677,376
  5. Step 5: Solve for x
    x = 2,700,684,677,376/753,914
  6. Step 6: Final answer
    x = 3,582,218.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.