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Finding the Third Proportional to 1,685,360 and 3,686,023

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Solution

The third proportional to 1,685,360 and 3,686,023 is: 8,061,639.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685,360 : 3,686,023 = 3,686,023 : x
  2. Step 2: Convert to fraction form
    1,685,360/3,686,023 = 3,686,023/x
  3. Step 3: Cross multiply
    1,685,360x = 3,686,023 × 3,686,023
  4. Step 4: Simplify right side
    1,685,360x = 13,586,765,556,529
  5. Step 5: Solve for x
    x = 13,586,765,556,529/1,685,360
  6. Step 6: Final answer
    x = 8,061,639.98

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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.