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Finding the Third Proportional to 4,762,800 and 7,154,920

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Solution

The third proportional to 4,762,800 and 7,154,920 is: 10,748,484.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762,800 : 7,154,920 = 7,154,920 : x
  2. Step 2: Convert to fraction form
    4,762,800/7,154,920 = 7,154,920/x
  3. Step 3: Cross multiply
    4,762,800x = 7,154,920 × 7,154,920
  4. Step 4: Simplify right side
    4,762,800x = 51,192,880,206,400
  5. Step 5: Solve for x
    x = 51,192,880,206,400/4,762,800
  6. Step 6: Final answer
    x = 10,748,484.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.