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Finding the Third Proportional to 929,598 and 1,970,814

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Solution

The third proportional to 929,598 and 1,970,814 is: 4,178,266.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,598 : 1,970,814 = 1,970,814 : x
  2. Step 2: Convert to fraction form
    929,598/1,970,814 = 1,970,814/x
  3. Step 3: Cross multiply
    929,598x = 1,970,814 × 1,970,814
  4. Step 4: Simplify right side
    929,598x = 3,884,107,822,596
  5. Step 5: Solve for x
    x = 3,884,107,822,596/929,598
  6. Step 6: Final answer
    x = 4,178,266.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.