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Finding the Third Proportional to 1,533,600 and 3,225,849.75

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Solution

The third proportional to 1,533,600 and 3,225,849.75 is: 6,785,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,600 : 3,225,849.75 = 3,225,849.75 : x
  2. Step 2: Convert to fraction form
    1,533,600/3,225,849.75 = 3,225,849.75/x
  3. Step 3: Cross multiply
    1,533,600x = 3,225,849.75 × 3,225,849.75
  4. Step 4: Simplify right side
    1,533,600x = 10,406,106,609,575.06
  5. Step 5: Solve for x
    x = 10,406,106,609,575.06/1,533,600
  6. Step 6: Final answer
    x = 6,785,411.20

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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.