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Finding the Third Proportional to 4,488,920 and 6,964,955

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Solution

The third proportional to 4,488,920 and 6,964,955 is: 10,806,741.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488,920 : 6,964,955 = 6,964,955 : x
  2. Step 2: Convert to fraction form
    4,488,920/6,964,955 = 6,964,955/x
  3. Step 3: Cross multiply
    4,488,920x = 6,964,955 × 6,964,955
  4. Step 4: Simplify right side
    4,488,920x = 48,510,598,152,025
  5. Step 5: Solve for x
    x = 48,510,598,152,025/4,488,920
  6. Step 6: Final answer
    x = 10,806,741.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.