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Finding the Third Proportional to 826,302 and 1,751,820

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Solution

The third proportional to 826,302 and 1,751,820 is: 3,713,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,302 : 1,751,820 = 1,751,820 : x
  2. Step 2: Convert to fraction form
    826,302/1,751,820 = 1,751,820/x
  3. Step 3: Cross multiply
    826,302x = 1,751,820 × 1,751,820
  4. Step 4: Simplify right side
    826,302x = 3,068,873,312,400
  5. Step 5: Solve for x
    x = 3,068,873,312,400/826,302
  6. Step 6: Final answer
    x = 3,713,985.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.