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Finding the Third Proportional to 414,846 and 904,774.50

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Solution

The third proportional to 414,846 and 904,774.50 is: 1,973,303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,846 : 904,774.50 = 904,774.50 : x
  2. Step 2: Convert to fraction form
    414,846/904,774.50 = 904,774.50/x
  3. Step 3: Cross multiply
    414,846x = 904,774.50 × 904,774.50
  4. Step 4: Simplify right side
    414,846x = 818,616,895,850.25
  5. Step 5: Solve for x
    x = 818,616,895,850.25/414,846
  6. Step 6: Final answer
    x = 1,973,303.10

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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.