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Finding the Third Proportional to 1,865,025 and 2,736,342

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Solution

The third proportional to 1,865,025 and 2,736,342 is: 4,014,727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865,025 : 2,736,342 = 2,736,342 : x
  2. Step 2: Convert to fraction form
    1,865,025/2,736,342 = 2,736,342/x
  3. Step 3: Cross multiply
    1,865,025x = 2,736,342 × 2,736,342
  4. Step 4: Simplify right side
    1,865,025x = 7,487,567,540,964
  5. Step 5: Solve for x
    x = 7,487,567,540,964/1,865,025
  6. Step 6: Final answer
    x = 4,014,727.71

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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.