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Finding the Third Proportional to 2,297,829 and 3,508,953

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Solution

The third proportional to 2,297,829 and 3,508,953 is: 5,358,427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297,829 : 3,508,953 = 3,508,953 : x
  2. Step 2: Convert to fraction form
    2,297,829/3,508,953 = 3,508,953/x
  3. Step 3: Cross multiply
    2,297,829x = 3,508,953 × 3,508,953
  4. Step 4: Simplify right side
    2,297,829x = 12,312,751,156,209
  5. Step 5: Solve for x
    x = 12,312,751,156,209/2,297,829
  6. Step 6: Final answer
    x = 5,358,427.96

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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.