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Finding the Third Proportional to 757,560 and 1,683,281

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Solution

The third proportional to 757,560 and 1,683,281 is: 3,740,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,560 : 1,683,281 = 1,683,281 : x
  2. Step 2: Convert to fraction form
    757,560/1,683,281 = 1,683,281/x
  3. Step 3: Cross multiply
    757,560x = 1,683,281 × 1,683,281
  4. Step 4: Simplify right side
    757,560x = 2,833,434,924,961
  5. Step 5: Solve for x
    x = 2,833,434,924,961/757,560
  6. Step 6: Final answer
    x = 3,740,211.90

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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.