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Finding the Third Proportional to 706,753 and 1,537,922

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Solution

The third proportional to 706,753 and 1,537,922 is: 3,346,578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,753 : 1,537,922 = 1,537,922 : x
  2. Step 2: Convert to fraction form
    706,753/1,537,922 = 1,537,922/x
  3. Step 3: Cross multiply
    706,753x = 1,537,922 × 1,537,922
  4. Step 4: Simplify right side
    706,753x = 2,365,204,078,084
  5. Step 5: Solve for x
    x = 2,365,204,078,084/706,753
  6. Step 6: Final answer
    x = 3,346,578.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.