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Finding the Third Proportional to 1,527,984 and 3,181,538.25

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Solution

The third proportional to 1,527,984 and 3,181,538.25 is: 6,624,536.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527,984 : 3,181,538.25 = 3,181,538.25 : x
  2. Step 2: Convert to fraction form
    1,527,984/3,181,538.25 = 3,181,538.25/x
  3. Step 3: Cross multiply
    1,527,984x = 3,181,538.25 × 3,181,538.25
  4. Step 4: Simplify right side
    1,527,984x = 10,122,185,636,213.06
  5. Step 5: Solve for x
    x = 10,122,185,636,213.06/1,527,984
  6. Step 6: Final answer
    x = 6,624,536.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.