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Finding the Third Proportional to 1,952,461 and 4,204,960

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Solution

The third proportional to 1,952,461 and 4,204,960 is: 9,056,103.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952,461 : 4,204,960 = 4,204,960 : x
  2. Step 2: Convert to fraction form
    1,952,461/4,204,960 = 4,204,960/x
  3. Step 3: Cross multiply
    1,952,461x = 4,204,960 × 4,204,960
  4. Step 4: Simplify right side
    1,952,461x = 17,681,688,601,600
  5. Step 5: Solve for x
    x = 17,681,688,601,600/1,952,461
  6. Step 6: Final answer
    x = 9,056,103.35

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.