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Finding the Third Proportional to 1,533,609 and 3,225,865.50

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Solution

The third proportional to 1,533,609 and 3,225,865.50 is: 6,785,437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,609 : 3,225,865.50 = 3,225,865.50 : x
  2. Step 2: Convert to fraction form
    1,533,609/3,225,865.50 = 3,225,865.50/x
  3. Step 3: Cross multiply
    1,533,609x = 3,225,865.50 × 3,225,865.50
  4. Step 4: Simplify right side
    1,533,609x = 10,406,208,224,090.25
  5. Step 5: Solve for x
    x = 10,406,208,224,090.25/1,533,609
  6. Step 6: Final answer
    x = 6,785,437.63

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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.