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Finding the Third Proportional to 1,429,152 and 2,975,910

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Solution

The third proportional to 1,429,152 and 2,975,910 is: 6,196,709.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,152 : 2,975,910 = 2,975,910 : x
  2. Step 2: Convert to fraction form
    1,429,152/2,975,910 = 2,975,910/x
  3. Step 3: Cross multiply
    1,429,152x = 2,975,910 × 2,975,910
  4. Step 4: Simplify right side
    1,429,152x = 8,856,040,328,100
  5. Step 5: Solve for x
    x = 8,856,040,328,100/1,429,152
  6. Step 6: Final answer
    x = 6,196,709.89

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.