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Finding the Third Proportional to 3,051,614 and 4,484,000

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Solution

The third proportional to 3,051,614 and 4,484,000 is: 6,588,728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051,614 : 4,484,000 = 4,484,000 : x
  2. Step 2: Convert to fraction form
    3,051,614/4,484,000 = 4,484,000/x
  3. Step 3: Cross multiply
    3,051,614x = 4,484,000 × 4,484,000
  4. Step 4: Simplify right side
    3,051,614x = 20,106,256,000,000
  5. Step 5: Solve for x
    x = 20,106,256,000,000/3,051,614
  6. Step 6: Final answer
    x = 6,588,728.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.