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Finding the Third Proportional to 676,056 and 1,011,977

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Solution

The third proportional to 676,056 and 1,011,977 is: 1,514,811.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,056 : 1,011,977 = 1,011,977 : x
  2. Step 2: Convert to fraction form
    676,056/1,011,977 = 1,011,977/x
  3. Step 3: Cross multiply
    676,056x = 1,011,977 × 1,011,977
  4. Step 4: Simplify right side
    676,056x = 1,024,097,448,529
  5. Step 5: Solve for x
    x = 1,024,097,448,529/676,056
  6. Step 6: Final answer
    x = 1,514,811.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.