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Finding the Third Proportional to 873,414 and 1,909,755

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Solution

The third proportional to 873,414 and 1,909,755 is: 4,175,756.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,414 : 1,909,755 = 1,909,755 : x
  2. Step 2: Convert to fraction form
    873,414/1,909,755 = 1,909,755/x
  3. Step 3: Cross multiply
    873,414x = 1,909,755 × 1,909,755
  4. Step 4: Simplify right side
    873,414x = 3,647,164,160,025
  5. Step 5: Solve for x
    x = 3,647,164,160,025/873,414
  6. Step 6: Final answer
    x = 4,175,756.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.