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Finding the Third Proportional to 691,633 and 1,417,404

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Solution

The third proportional to 691,633 and 1,417,404 is: 2,904,769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,633 : 1,417,404 = 1,417,404 : x
  2. Step 2: Convert to fraction form
    691,633/1,417,404 = 1,417,404/x
  3. Step 3: Cross multiply
    691,633x = 1,417,404 × 1,417,404
  4. Step 4: Simplify right side
    691,633x = 2,009,034,099,216
  5. Step 5: Solve for x
    x = 2,009,034,099,216/691,633
  6. Step 6: Final answer
    x = 2,904,769.00

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.