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Finding the Third Proportional to 842,212.69 and 1,295,848.13

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Solution

The third proportional to 842,212.69 and 1,295,848.13 is: 1,993,822.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,212.69 : 1,295,848.13 = 1,295,848.13 : x
  2. Step 2: Convert to fraction form
    842,212.69/1,295,848.13 = 1,295,848.13/x
  3. Step 3: Cross multiply
    842,212.69x = 1,295,848.13 × 1,295,848.13
  4. Step 4: Simplify right side
    842,212.69x = 1,679,222,363,066.02
  5. Step 5: Solve for x
    x = 1,679,222,363,066.02/842,212.69
  6. Step 6: Final answer
    x = 1,993,822.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.