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Finding the Third Proportional to 676,048 and 1,011,966

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Solution

The third proportional to 676,048 and 1,011,966 is: 1,514,796.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,048 : 1,011,966 = 1,011,966 : x
  2. Step 2: Convert to fraction form
    676,048/1,011,966 = 1,011,966/x
  3. Step 3: Cross multiply
    676,048x = 1,011,966 × 1,011,966
  4. Step 4: Simplify right side
    676,048x = 1,024,075,185,156
  5. Step 5: Solve for x
    x = 1,024,075,185,156/676,048
  6. Step 6: Final answer
    x = 1,514,796.56

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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.