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Finding the Third Proportional to 1,834,470.56 and 3,890,921.63

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Solution

The third proportional to 1,834,470.56 and 3,890,921.63 is: 8,252,665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,470.56 : 3,890,921.63 = 3,890,921.63 : x
  2. Step 2: Convert to fraction form
    1,834,470.56/3,890,921.63 = 3,890,921.63/x
  3. Step 3: Cross multiply
    1,834,470.56x = 3,890,921.63 × 3,890,921.63
  4. Step 4: Simplify right side
    1,834,470.56x = 15,139,271,091,892.64
  5. Step 5: Solve for x
    x = 15,139,271,091,892.64/1,834,470.56
  6. Step 6: Final answer
    x = 8,252,665.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.