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Finding the Third Proportional to 878,123.21 and 1,774,237.92

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Solution

The third proportional to 878,123.21 and 1,774,237.92 is: 3,584,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,123.21 : 1,774,237.92 = 1,774,237.92 : x
  2. Step 2: Convert to fraction form
    878,123.21/1,774,237.92 = 1,774,237.92/x
  3. Step 3: Cross multiply
    878,123.21x = 1,774,237.92 × 1,774,237.92
  4. Step 4: Simplify right side
    878,123.21x = 3,147,920,203,419.32
  5. Step 5: Solve for x
    x = 3,147,920,203,419.32/878,123.21
  6. Step 6: Final answer
    x = 3,584,827.45

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.