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Finding the Third Proportional to 2,330,616 and 3,662,196

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Solution

The third proportional to 2,330,616 and 3,662,196 is: 5,754,564.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330,616 : 3,662,196 = 3,662,196 : x
  2. Step 2: Convert to fraction form
    2,330,616/3,662,196 = 3,662,196/x
  3. Step 3: Cross multiply
    2,330,616x = 3,662,196 × 3,662,196
  4. Step 4: Simplify right side
    2,330,616x = 13,411,679,542,416
  5. Step 5: Solve for x
    x = 13,411,679,542,416/2,330,616
  6. Step 6: Final answer
    x = 5,754,564.26

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.