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Finding the Third Proportional to 831,708 and 1,750,329

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Solution

The third proportional to 831,708 and 1,750,329 is: 3,683,566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,708 : 1,750,329 = 1,750,329 : x
  2. Step 2: Convert to fraction form
    831,708/1,750,329 = 1,750,329/x
  3. Step 3: Cross multiply
    831,708x = 1,750,329 × 1,750,329
  4. Step 4: Simplify right side
    831,708x = 3,063,651,608,241
  5. Step 5: Solve for x
    x = 3,063,651,608,241/831,708
  6. Step 6: Final answer
    x = 3,683,566.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.