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Finding the Third Proportional to 1,382,103 and 2,117,169

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Solution

The third proportional to 1,382,103 and 2,117,169 is: 3,243,176.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,103 : 2,117,169 = 2,117,169 : x
  2. Step 2: Convert to fraction form
    1,382,103/2,117,169 = 2,117,169/x
  3. Step 3: Cross multiply
    1,382,103x = 2,117,169 × 2,117,169
  4. Step 4: Simplify right side
    1,382,103x = 4,482,404,574,561
  5. Step 5: Solve for x
    x = 4,482,404,574,561/1,382,103
  6. Step 6: Final answer
    x = 3,243,176.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.