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Finding the Third Proportional to 6,844,402 and 9,569,462

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Solution

The third proportional to 6,844,402 and 9,569,462 is: 13,379,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844,402 : 9,569,462 = 9,569,462 : x
  2. Step 2: Convert to fraction form
    6,844,402/9,569,462 = 9,569,462/x
  3. Step 3: Cross multiply
    6,844,402x = 9,569,462 × 9,569,462
  4. Step 4: Simplify right side
    6,844,402x = 91,574,602,969,444
  5. Step 5: Solve for x
    x = 91,574,602,969,444/6,844,402
  6. Step 6: Final answer
    x = 13,379,489.25

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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.