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Finding the Third Proportional to 1,533,502 and 2,321,743

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Solution

The third proportional to 1,533,502 and 2,321,743 is: 3,515,150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,502 : 2,321,743 = 2,321,743 : x
  2. Step 2: Convert to fraction form
    1,533,502/2,321,743 = 2,321,743/x
  3. Step 3: Cross multiply
    1,533,502x = 2,321,743 × 2,321,743
  4. Step 4: Simplify right side
    1,533,502x = 5,390,490,558,049
  5. Step 5: Solve for x
    x = 5,390,490,558,049/1,533,502
  6. Step 6: Final answer
    x = 3,515,150.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.