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Finding the Third Proportional to 999,156 and 1,523,763

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Solution

The third proportional to 999,156 and 1,523,763 is: 2,323,814.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,156 : 1,523,763 = 1,523,763 : x
  2. Step 2: Convert to fraction form
    999,156/1,523,763 = 1,523,763/x
  3. Step 3: Cross multiply
    999,156x = 1,523,763 × 1,523,763
  4. Step 4: Simplify right side
    999,156x = 2,321,853,680,169
  5. Step 5: Solve for x
    x = 2,321,853,680,169/999,156
  6. Step 6: Final answer
    x = 2,323,814.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.