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Finding the Third Proportional to 4,660,464 and 6,296,576

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Solution

The third proportional to 4,660,464 and 6,296,576 is: 8,507,064.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660,464 : 6,296,576 = 6,296,576 : x
  2. Step 2: Convert to fraction form
    4,660,464/6,296,576 = 6,296,576/x
  3. Step 3: Cross multiply
    4,660,464x = 6,296,576 × 6,296,576
  4. Step 4: Simplify right side
    4,660,464x = 39,646,869,323,776
  5. Step 5: Solve for x
    x = 39,646,869,323,776/4,660,464
  6. Step 6: Final answer
    x = 8,507,064.82

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.