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Finding the Third Proportional to 1,538,116 and 2,294,430

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Solution

The third proportional to 1,538,116 and 2,294,430 is: 3,422,634.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,116 : 2,294,430 = 2,294,430 : x
  2. Step 2: Convert to fraction form
    1,538,116/2,294,430 = 2,294,430/x
  3. Step 3: Cross multiply
    1,538,116x = 2,294,430 × 2,294,430
  4. Step 4: Simplify right side
    1,538,116x = 5,264,409,024,900
  5. Step 5: Solve for x
    x = 5,264,409,024,900/1,538,116
  6. Step 6: Final answer
    x = 3,422,634.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.