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Finding the Third Proportional to 4,762,721 and 7,154,814

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Solution

The third proportional to 4,762,721 and 7,154,814 is: 10,748,343.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762,721 : 7,154,814 = 7,154,814 : x
  2. Step 2: Convert to fraction form
    4,762,721/7,154,814 = 7,154,814/x
  3. Step 3: Cross multiply
    4,762,721x = 7,154,814 × 7,154,814
  4. Step 4: Simplify right side
    4,762,721x = 51,191,363,374,596
  5. Step 5: Solve for x
    x = 51,191,363,374,596/4,762,721
  6. Step 6: Final answer
    x = 10,748,343.94

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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.