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Finding the Third Proportional to 890,291 and 1,972,714

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Solution

The third proportional to 890,291 and 1,972,714 is: 4,371,155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,291 : 1,972,714 = 1,972,714 : x
  2. Step 2: Convert to fraction form
    890,291/1,972,714 = 1,972,714/x
  3. Step 3: Cross multiply
    890,291x = 1,972,714 × 1,972,714
  4. Step 4: Simplify right side
    890,291x = 3,891,600,525,796
  5. Step 5: Solve for x
    x = 3,891,600,525,796/890,291
  6. Step 6: Final answer
    x = 4,371,155.64

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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.