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Finding the Third Proportional to 676,868 and 1,015,435

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Solution

The third proportional to 676,868 and 1,015,435 is: 1,523,352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,868 : 1,015,435 = 1,015,435 : x
  2. Step 2: Convert to fraction form
    676,868/1,015,435 = 1,015,435/x
  3. Step 3: Cross multiply
    676,868x = 1,015,435 × 1,015,435
  4. Step 4: Simplify right side
    676,868x = 1,031,108,239,225
  5. Step 5: Solve for x
    x = 1,031,108,239,225/676,868
  6. Step 6: Final answer
    x = 1,523,352.03

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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.