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Finding the Third Proportional to 842,430.38 and 1,817,710.88

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Solution

The third proportional to 842,430.38 and 1,817,710.88 is: 3,922,072.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,430.38 : 1,817,710.88 = 1,817,710.88 : x
  2. Step 2: Convert to fraction form
    842,430.38/1,817,710.88 = 1,817,710.88/x
  3. Step 3: Cross multiply
    842,430.38x = 1,817,710.88 × 1,817,710.88
  4. Step 4: Simplify right side
    842,430.38x = 3,304,072,825,093.27
  5. Step 5: Solve for x
    x = 3,304,072,825,093.27/842,430.38
  6. Step 6: Final answer
    x = 3,922,072.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.