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Finding the Third Proportional to 2,355,216 and 3,735,441

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Solution

The third proportional to 2,355,216 and 3,735,441 is: 5,924,517.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355,216 : 3,735,441 = 3,735,441 : x
  2. Step 2: Convert to fraction form
    2,355,216/3,735,441 = 3,735,441/x
  3. Step 3: Cross multiply
    2,355,216x = 3,735,441 × 3,735,441
  4. Step 4: Simplify right side
    2,355,216x = 13,953,519,464,481
  5. Step 5: Solve for x
    x = 13,953,519,464,481/2,355,216
  6. Step 6: Final answer
    x = 5,924,517.95

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.