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Finding the Third Proportional to 2,537,664 and 3,736,400

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Solution

The third proportional to 2,537,664 and 3,736,400 is: 5,501,392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537,664 : 3,736,400 = 3,736,400 : x
  2. Step 2: Convert to fraction form
    2,537,664/3,736,400 = 3,736,400/x
  3. Step 3: Cross multiply
    2,537,664x = 3,736,400 × 3,736,400
  4. Step 4: Simplify right side
    2,537,664x = 13,960,684,960,000
  5. Step 5: Solve for x
    x = 13,960,684,960,000/2,537,664
  6. Step 6: Final answer
    x = 5,501,392.21

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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.