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Finding the Third Proportional to 2,924,580 and 6,311,576

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Solution

The third proportional to 2,924,580 and 6,311,576 is: 13,621,098.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924,580 : 6,311,576 = 6,311,576 : x
  2. Step 2: Convert to fraction form
    2,924,580/6,311,576 = 6,311,576/x
  3. Step 3: Cross multiply
    2,924,580x = 6,311,576 × 6,311,576
  4. Step 4: Simplify right side
    2,924,580x = 39,835,991,603,776
  5. Step 5: Solve for x
    x = 39,835,991,603,776/2,924,580
  6. Step 6: Final answer
    x = 13,621,098.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.