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Finding the Third Proportional to 3,542,616 and 4,970,988

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Solution

The third proportional to 3,542,616 and 4,970,988 is: 6,975,275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542,616 : 4,970,988 = 4,970,988 : x
  2. Step 2: Convert to fraction form
    3,542,616/4,970,988 = 4,970,988/x
  3. Step 3: Cross multiply
    3,542,616x = 4,970,988 × 4,970,988
  4. Step 4: Simplify right side
    3,542,616x = 24,710,721,696,144
  5. Step 5: Solve for x
    x = 24,710,721,696,144/3,542,616
  6. Step 6: Final answer
    x = 6,975,275.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.