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Finding the Third Proportional to 1,294,356 and 2,752,008

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Solution

The third proportional to 1,294,356 and 2,752,008 is: 5,851,209.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,356 : 2,752,008 = 2,752,008 : x
  2. Step 2: Convert to fraction form
    1,294,356/2,752,008 = 2,752,008/x
  3. Step 3: Cross multiply
    1,294,356x = 2,752,008 × 2,752,008
  4. Step 4: Simplify right side
    1,294,356x = 7,573,548,032,064
  5. Step 5: Solve for x
    x = 7,573,548,032,064/1,294,356
  6. Step 6: Final answer
    x = 5,851,209.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.