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Finding the Third Proportional to 767,824 and 1,653,382

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Solution

The third proportional to 767,824 and 1,653,382 is: 3,560,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,824 : 1,653,382 = 1,653,382 : x
  2. Step 2: Convert to fraction form
    767,824/1,653,382 = 1,653,382/x
  3. Step 3: Cross multiply
    767,824x = 1,653,382 × 1,653,382
  4. Step 4: Simplify right side
    767,824x = 2,733,672,037,924
  5. Step 5: Solve for x
    x = 2,733,672,037,924/767,824
  6. Step 6: Final answer
    x = 3,560,284.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.