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Finding the Third Proportional to 2,429,595 and 5,232,438

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Solution

The third proportional to 2,429,595 and 5,232,438 is: 11,268,712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,595 : 5,232,438 = 5,232,438 : x
  2. Step 2: Convert to fraction form
    2,429,595/5,232,438 = 5,232,438/x
  3. Step 3: Cross multiply
    2,429,595x = 5,232,438 × 5,232,438
  4. Step 4: Simplify right side
    2,429,595x = 27,378,407,423,844
  5. Step 5: Solve for x
    x = 27,378,407,423,844/2,429,595
  6. Step 6: Final answer
    x = 11,268,712.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.