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Finding the Third Proportional to 1,046,774.25 and 2,267,447.06

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Solution

The third proportional to 1,046,774.25 and 2,267,447.06 is: 4,911,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,774.25 : 2,267,447.06 = 2,267,447.06 : x
  2. Step 2: Convert to fraction form
    1,046,774.25/2,267,447.06 = 2,267,447.06/x
  3. Step 3: Cross multiply
    1,046,774.25x = 2,267,447.06 × 2,267,447.06
  4. Step 4: Simplify right side
    1,046,774.25x = 5,141,316,181,239.88
  5. Step 5: Solve for x
    x = 5,141,316,181,239.88/1,046,774.25
  6. Step 6: Final answer
    x = 4,911,580.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.