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Finding the Third Proportional to 1,566,191 and 3,420,014

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Solution

The third proportional to 1,566,191 and 3,420,014 is: 7,468,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566,191 : 3,420,014 = 3,420,014 : x
  2. Step 2: Convert to fraction form
    1,566,191/3,420,014 = 3,420,014/x
  3. Step 3: Cross multiply
    1,566,191x = 3,420,014 × 3,420,014
  4. Step 4: Simplify right side
    1,566,191x = 11,696,495,760,196
  5. Step 5: Solve for x
    x = 11,696,495,760,196/1,566,191
  6. Step 6: Final answer
    x = 7,468,115.80

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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.