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Finding the Third Proportional to 2,528,253.13 and 3,697,761.56

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Solution

The third proportional to 2,528,253.13 and 3,697,761.56 is: 5,408,256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528,253.13 : 3,697,761.56 = 3,697,761.56 : x
  2. Step 2: Convert to fraction form
    2,528,253.13/3,697,761.56 = 3,697,761.56/x
  3. Step 3: Cross multiply
    2,528,253.13x = 3,697,761.56 × 3,697,761.56
  4. Step 4: Simplify right side
    2,528,253.13x = 13,673,440,573,102.44
  5. Step 5: Solve for x
    x = 13,673,440,573,102.44/2,528,253.13
  6. Step 6: Final answer
    x = 5,408,256.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.