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Finding the Third Proportional to 757,623 and 1,683,414

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Solution

The third proportional to 757,623 and 1,683,414 is: 3,740,491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,623 : 1,683,414 = 1,683,414 : x
  2. Step 2: Convert to fraction form
    757,623/1,683,414 = 1,683,414/x
  3. Step 3: Cross multiply
    757,623x = 1,683,414 × 1,683,414
  4. Step 4: Simplify right side
    757,623x = 2,833,882,695,396
  5. Step 5: Solve for x
    x = 2,833,882,695,396/757,623
  6. Step 6: Final answer
    x = 3,740,491.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.