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Finding the Third Proportional to 809,766 and 1,772,076

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Solution

The third proportional to 809,766 and 1,772,076 is: 3,877,976.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,766 : 1,772,076 = 1,772,076 : x
  2. Step 2: Convert to fraction form
    809,766/1,772,076 = 1,772,076/x
  3. Step 3: Cross multiply
    809,766x = 1,772,076 × 1,772,076
  4. Step 4: Simplify right side
    809,766x = 3,140,253,349,776
  5. Step 5: Solve for x
    x = 3,140,253,349,776/809,766
  6. Step 6: Final answer
    x = 3,877,976.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.