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Finding the Third Proportional to 1,637,837 and 3,543,946

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Solution

The third proportional to 1,637,837 and 3,543,946 is: 7,668,378.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637,837 : 3,543,946 = 3,543,946 : x
  2. Step 2: Convert to fraction form
    1,637,837/3,543,946 = 3,543,946/x
  3. Step 3: Cross multiply
    1,637,837x = 3,543,946 × 3,543,946
  4. Step 4: Simplify right side
    1,637,837x = 12,559,553,250,916
  5. Step 5: Solve for x
    x = 12,559,553,250,916/1,637,837
  6. Step 6: Final answer
    x = 7,668,378.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.