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Finding the Third Proportional to 1,911,357 and 4,106,043

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Solution

The third proportional to 1,911,357 and 4,106,043 is: 8,820,743.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911,357 : 4,106,043 = 4,106,043 : x
  2. Step 2: Convert to fraction form
    1,911,357/4,106,043 = 4,106,043/x
  3. Step 3: Cross multiply
    1,911,357x = 4,106,043 × 4,106,043
  4. Step 4: Simplify right side
    1,911,357x = 16,859,589,117,849
  5. Step 5: Solve for x
    x = 16,859,589,117,849/1,911,357
  6. Step 6: Final answer
    x = 8,820,743.13

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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.