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Finding the Third Proportional to 854,677 and 1,823,748

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Solution

The third proportional to 854,677 and 1,823,748 is: 3,891,595.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,677 : 1,823,748 = 1,823,748 : x
  2. Step 2: Convert to fraction form
    854,677/1,823,748 = 1,823,748/x
  3. Step 3: Cross multiply
    854,677x = 1,823,748 × 1,823,748
  4. Step 4: Simplify right side
    854,677x = 3,326,056,767,504
  5. Step 5: Solve for x
    x = 3,326,056,767,504/854,677
  6. Step 6: Final answer
    x = 3,891,595.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.