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Finding the Third Proportional to 661,014 and 1,426,977

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Solution

The third proportional to 661,014 and 1,426,977 is: 3,080,514.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,014 : 1,426,977 = 1,426,977 : x
  2. Step 2: Convert to fraction form
    661,014/1,426,977 = 1,426,977/x
  3. Step 3: Cross multiply
    661,014x = 1,426,977 × 1,426,977
  4. Step 4: Simplify right side
    661,014x = 2,036,263,358,529
  5. Step 5: Solve for x
    x = 2,036,263,358,529/661,014
  6. Step 6: Final answer
    x = 3,080,514.72

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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.