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Finding the Third Proportional to 723,774 and 1,529,196

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Solution

The third proportional to 723,774 and 1,529,196 is: 3,230,898.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,774 : 1,529,196 = 1,529,196 : x
  2. Step 2: Convert to fraction form
    723,774/1,529,196 = 1,529,196/x
  3. Step 3: Cross multiply
    723,774x = 1,529,196 × 1,529,196
  4. Step 4: Simplify right side
    723,774x = 2,338,440,406,416
  5. Step 5: Solve for x
    x = 2,338,440,406,416/723,774
  6. Step 6: Final answer
    x = 3,230,898.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.