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Finding the Third Proportional to 2,897,442 and 6,293,512

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Solution

The third proportional to 2,897,442 and 6,293,512 is: 13,670,090.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897,442 : 6,293,512 = 6,293,512 : x
  2. Step 2: Convert to fraction form
    2,897,442/6,293,512 = 6,293,512/x
  3. Step 3: Cross multiply
    2,897,442x = 6,293,512 × 6,293,512
  4. Step 4: Simplify right side
    2,897,442x = 39,608,293,294,144
  5. Step 5: Solve for x
    x = 39,608,293,294,144/2,897,442
  6. Step 6: Final answer
    x = 13,670,090.13

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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.