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Finding the Third Proportional to 1,365,123 and 2,962,297

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Solution

The third proportional to 1,365,123 and 2,962,297 is: 6,428,141.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,123 : 2,962,297 = 2,962,297 : x
  2. Step 2: Convert to fraction form
    1,365,123/2,962,297 = 2,962,297/x
  3. Step 3: Cross multiply
    1,365,123x = 2,962,297 × 2,962,297
  4. Step 4: Simplify right side
    1,365,123x = 8,775,203,516,209
  5. Step 5: Solve for x
    x = 8,775,203,516,209/1,365,123
  6. Step 6: Final answer
    x = 6,428,141.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.