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Finding the Third Proportional to 637,130 and 1,368,697

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Solution

The third proportional to 637,130 and 1,368,697 is: 2,940,265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,130 : 1,368,697 = 1,368,697 : x
  2. Step 2: Convert to fraction form
    637,130/1,368,697 = 1,368,697/x
  3. Step 3: Cross multiply
    637,130x = 1,368,697 × 1,368,697
  4. Step 4: Simplify right side
    637,130x = 1,873,331,477,809
  5. Step 5: Solve for x
    x = 1,873,331,477,809/637,130
  6. Step 6: Final answer
    x = 2,940,265.69

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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.