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Finding the Third Proportional to 2,323,474 and 5,032,953

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Solution

The third proportional to 2,323,474 and 5,032,953 is: 10,902,044.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323,474 : 5,032,953 = 5,032,953 : x
  2. Step 2: Convert to fraction form
    2,323,474/5,032,953 = 5,032,953/x
  3. Step 3: Cross multiply
    2,323,474x = 5,032,953 × 5,032,953
  4. Step 4: Simplify right side
    2,323,474x = 25,330,615,900,209
  5. Step 5: Solve for x
    x = 25,330,615,900,209/2,323,474
  6. Step 6: Final answer
    x = 10,902,044.05

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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.