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Finding the Third Proportional to 2,970,532 and 6,497,480

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Solution

The third proportional to 2,970,532 and 6,497,480 is: 14,212,015.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970,532 : 6,497,480 = 6,497,480 : x
  2. Step 2: Convert to fraction form
    2,970,532/6,497,480 = 6,497,480/x
  3. Step 3: Cross multiply
    2,970,532x = 6,497,480 × 6,497,480
  4. Step 4: Simplify right side
    2,970,532x = 42,217,246,350,400
  5. Step 5: Solve for x
    x = 42,217,246,350,400/2,970,532
  6. Step 6: Final answer
    x = 14,212,015.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.