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Finding the Third Proportional to 676,185.19 and 1,053,051.75

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Solution

The third proportional to 676,185.19 and 1,053,051.75 is: 1,639,961.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,185.19 : 1,053,051.75 = 1,053,051.75 : x
  2. Step 2: Convert to fraction form
    676,185.19/1,053,051.75 = 1,053,051.75/x
  3. Step 3: Cross multiply
    676,185.19x = 1,053,051.75 × 1,053,051.75
  4. Step 4: Simplify right side
    676,185.19x = 1,108,917,988,178.06
  5. Step 5: Solve for x
    x = 1,108,917,988,178.06/676,185.19
  6. Step 6: Final answer
    x = 1,639,961.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.