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Finding the Third Proportional to 934,700 and 2,033,424

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Solution

The third proportional to 934,700 and 2,033,424 is: 4,423,679.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,700 : 2,033,424 = 2,033,424 : x
  2. Step 2: Convert to fraction form
    934,700/2,033,424 = 2,033,424/x
  3. Step 3: Cross multiply
    934,700x = 2,033,424 × 2,033,424
  4. Step 4: Simplify right side
    934,700x = 4,134,813,163,776
  5. Step 5: Solve for x
    x = 4,134,813,163,776/934,700
  6. Step 6: Final answer
    x = 4,423,679.43

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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.