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Finding the Third Proportional to 2,409,152 and 3,523,089

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Solution

The third proportional to 2,409,152 and 3,523,089 is: 5,152,085.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409,152 : 3,523,089 = 3,523,089 : x
  2. Step 2: Convert to fraction form
    2,409,152/3,523,089 = 3,523,089/x
  3. Step 3: Cross multiply
    2,409,152x = 3,523,089 × 3,523,089
  4. Step 4: Simplify right side
    2,409,152x = 12,412,156,101,921
  5. Step 5: Solve for x
    x = 12,412,156,101,921/2,409,152
  6. Step 6: Final answer
    x = 5,152,085.09

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.