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Finding the Third Proportional to 809,642 and 1,776,746

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Solution

The third proportional to 809,642 and 1,776,746 is: 3,899,039.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,642 : 1,776,746 = 1,776,746 : x
  2. Step 2: Convert to fraction form
    809,642/1,776,746 = 1,776,746/x
  3. Step 3: Cross multiply
    809,642x = 1,776,746 × 1,776,746
  4. Step 4: Simplify right side
    809,642x = 3,156,826,348,516
  5. Step 5: Solve for x
    x = 3,156,826,348,516/809,642
  6. Step 6: Final answer
    x = 3,899,039.76

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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.