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Finding the Third Proportional to 469,701 and 1,046,977

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Solution

The third proportional to 469,701 and 1,046,977 is: 2,333,741.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,701 : 1,046,977 = 1,046,977 : x
  2. Step 2: Convert to fraction form
    469,701/1,046,977 = 1,046,977/x
  3. Step 3: Cross multiply
    469,701x = 1,046,977 × 1,046,977
  4. Step 4: Simplify right side
    469,701x = 1,096,160,838,529
  5. Step 5: Solve for x
    x = 1,096,160,838,529/469,701
  6. Step 6: Final answer
    x = 2,333,741.76

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.