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Finding the Third Proportional to 641,056 and 996,579

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Solution

The third proportional to 641,056 and 996,579 is: 1,549,271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,056 : 996,579 = 996,579 : x
  2. Step 2: Convert to fraction form
    641,056/996,579 = 996,579/x
  3. Step 3: Cross multiply
    641,056x = 996,579 × 996,579
  4. Step 4: Simplify right side
    641,056x = 993,169,703,241
  5. Step 5: Solve for x
    x = 993,169,703,241/641,056
  6. Step 6: Final answer
    x = 1,549,271.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.