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Finding the Third Proportional to 816,141 and 1,776,840

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Solution

The third proportional to 816,141 and 1,776,840 is: 3,868,400.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,141 : 1,776,840 = 1,776,840 : x
  2. Step 2: Convert to fraction form
    816,141/1,776,840 = 1,776,840/x
  3. Step 3: Cross multiply
    816,141x = 1,776,840 × 1,776,840
  4. Step 4: Simplify right side
    816,141x = 3,157,160,385,600
  5. Step 5: Solve for x
    x = 3,157,160,385,600/816,141
  6. Step 6: Final answer
    x = 3,868,400.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.