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Finding the Third Proportional to 911,784 and 2,110,617

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Solution

The third proportional to 911,784 and 2,110,617 is: 4,885,701.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,784 : 2,110,617 = 2,110,617 : x
  2. Step 2: Convert to fraction form
    911,784/2,110,617 = 2,110,617/x
  3. Step 3: Cross multiply
    911,784x = 2,110,617 × 2,110,617
  4. Step 4: Simplify right side
    911,784x = 4,454,704,120,689
  5. Step 5: Solve for x
    x = 4,454,704,120,689/911,784
  6. Step 6: Final answer
    x = 4,885,701.13

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.