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Finding the Third Proportional to 1,926,576.14 and 4,234,510.41

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Solution

The third proportional to 1,926,576.14 and 4,234,510.41 is: 9,307,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926,576.14 : 4,234,510.41 = 4,234,510.41 : x
  2. Step 2: Convert to fraction form
    1,926,576.14/4,234,510.41 = 4,234,510.41/x
  3. Step 3: Cross multiply
    1,926,576.14x = 4,234,510.41 × 4,234,510.41
  4. Step 4: Simplify right side
    1,926,576.14x = 17,931,078,380,639.54
  5. Step 5: Solve for x
    x = 17,931,078,380,639.54/1,926,576.14
  6. Step 6: Final answer
    x = 9,307,225.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.