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Finding the Third Proportional to 803,856 and 1,747,536

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Solution

The third proportional to 803,856 and 1,747,536 is: 3,799,041.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,856 : 1,747,536 = 1,747,536 : x
  2. Step 2: Convert to fraction form
    803,856/1,747,536 = 1,747,536/x
  3. Step 3: Cross multiply
    803,856x = 1,747,536 × 1,747,536
  4. Step 4: Simplify right side
    803,856x = 3,053,882,071,296
  5. Step 5: Solve for x
    x = 3,053,882,071,296/803,856
  6. Step 6: Final answer
    x = 3,799,041.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.