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Finding the Third Proportional to 1,685,501 and 3,686,302

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Solution

The third proportional to 1,685,501 and 3,686,302 is: 8,062,185.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685,501 : 3,686,302 = 3,686,302 : x
  2. Step 2: Convert to fraction form
    1,685,501/3,686,302 = 3,686,302/x
  3. Step 3: Cross multiply
    1,685,501x = 3,686,302 × 3,686,302
  4. Step 4: Simplify right side
    1,685,501x = 13,588,822,435,204
  5. Step 5: Solve for x
    x = 13,588,822,435,204/1,685,501
  6. Step 6: Final answer
    x = 8,062,185.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.