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Finding the Third Proportional to 900,434 and 1,966,756

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Solution

The third proportional to 900,434 and 1,966,756 is: 4,295,849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,434 : 1,966,756 = 1,966,756 : x
  2. Step 2: Convert to fraction form
    900,434/1,966,756 = 1,966,756/x
  3. Step 3: Cross multiply
    900,434x = 1,966,756 × 1,966,756
  4. Step 4: Simplify right side
    900,434x = 3,868,129,163,536
  5. Step 5: Solve for x
    x = 3,868,129,163,536/900,434
  6. Step 6: Final answer
    x = 4,295,849.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.