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Finding the Third Proportional to 4,015,736 and 6,117,706

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Solution

The third proportional to 4,015,736 and 6,117,706 is: 9,319,917.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,015,736 : 6,117,706 = 6,117,706 : x
  2. Step 2: Convert to fraction form
    4,015,736/6,117,706 = 6,117,706/x
  3. Step 3: Cross multiply
    4,015,736x = 6,117,706 × 6,117,706
  4. Step 4: Simplify right side
    4,015,736x = 37,426,326,702,436
  5. Step 5: Solve for x
    x = 37,426,326,702,436/4,015,736
  6. Step 6: Final answer
    x = 9,319,917.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.