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Finding the Third Proportional to 774,675 and 1,671,714

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Solution

The third proportional to 774,675 and 1,671,714 is: 3,607,484.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,675 : 1,671,714 = 1,671,714 : x
  2. Step 2: Convert to fraction form
    774,675/1,671,714 = 1,671,714/x
  3. Step 3: Cross multiply
    774,675x = 1,671,714 × 1,671,714
  4. Step 4: Simplify right side
    774,675x = 2,794,627,697,796
  5. Step 5: Solve for x
    x = 2,794,627,697,796/774,675
  6. Step 6: Final answer
    x = 3,607,484.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.