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Finding the Third Proportional to 3,654,309 and 5,362,014

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Solution

The third proportional to 3,654,309 and 5,362,014 is: 7,867,751.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654,309 : 5,362,014 = 5,362,014 : x
  2. Step 2: Convert to fraction form
    3,654,309/5,362,014 = 5,362,014/x
  3. Step 3: Cross multiply
    3,654,309x = 5,362,014 × 5,362,014
  4. Step 4: Simplify right side
    3,654,309x = 28,751,194,136,196
  5. Step 5: Solve for x
    x = 28,751,194,136,196/3,654,309
  6. Step 6: Final answer
    x = 7,867,751.23

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.