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Finding the Third Proportional to 1,533,584.81 and 3,225,817.13

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Solution

The third proportional to 1,533,584.81 and 3,225,817.13 is: 6,785,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,584.81 : 3,225,817.13 = 3,225,817.13 : x
  2. Step 2: Convert to fraction form
    1,533,584.81/3,225,817.13 = 3,225,817.13/x
  3. Step 3: Cross multiply
    1,533,584.81x = 3,225,817.13 × 3,225,817.13
  4. Step 4: Simplify right side
    1,533,584.81x = 10,405,896,123,943.27
  5. Step 5: Solve for x
    x = 10,405,896,123,943.27/1,533,584.81
  6. Step 6: Final answer
    x = 6,785,341.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.