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Finding the Third Proportional to 1,905,426 and 4,087,140.75

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Solution

The third proportional to 1,905,426 and 4,087,140.75 is: 8,766,921.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905,426 : 4,087,140.75 = 4,087,140.75 : x
  2. Step 2: Convert to fraction form
    1,905,426/4,087,140.75 = 4,087,140.75/x
  3. Step 3: Cross multiply
    1,905,426x = 4,087,140.75 × 4,087,140.75
  4. Step 4: Simplify right side
    1,905,426x = 16,704,719,510,310.56
  5. Step 5: Solve for x
    x = 16,704,719,510,310.56/1,905,426
  6. Step 6: Final answer
    x = 8,766,921.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.