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Finding the Third Proportional to 761,700 and 1,628,376

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Solution

The third proportional to 761,700 and 1,628,376 is: 3,481,171.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,700 : 1,628,376 = 1,628,376 : x
  2. Step 2: Convert to fraction form
    761,700/1,628,376 = 1,628,376/x
  3. Step 3: Cross multiply
    761,700x = 1,628,376 × 1,628,376
  4. Step 4: Simplify right side
    761,700x = 2,651,608,397,376
  5. Step 5: Solve for x
    x = 2,651,608,397,376/761,700
  6. Step 6: Final answer
    x = 3,481,171.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.