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Finding the Third Proportional to 4,403,970 and 6,436,017

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Solution

The third proportional to 4,403,970 and 6,436,017 is: 9,405,675.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,403,970 : 6,436,017 = 6,436,017 : x
  2. Step 2: Convert to fraction form
    4,403,970/6,436,017 = 6,436,017/x
  3. Step 3: Cross multiply
    4,403,970x = 6,436,017 × 6,436,017
  4. Step 4: Simplify right side
    4,403,970x = 41,422,314,824,289
  5. Step 5: Solve for x
    x = 41,422,314,824,289/4,403,970
  6. Step 6: Final answer
    x = 9,405,675.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.