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Finding the Third Proportional to 782,898 and 1,503,588

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Solution

The third proportional to 782,898 and 1,503,588 is: 2,887,702.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,898 : 1,503,588 = 1,503,588 : x
  2. Step 2: Convert to fraction form
    782,898/1,503,588 = 1,503,588/x
  3. Step 3: Cross multiply
    782,898x = 1,503,588 × 1,503,588
  4. Step 4: Simplify right side
    782,898x = 2,260,776,873,744
  5. Step 5: Solve for x
    x = 2,260,776,873,744/782,898
  6. Step 6: Final answer
    x = 2,887,702.96

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.