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Finding the Third Proportional to 922,669 and 1,996,970

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Solution

The third proportional to 922,669 and 1,996,970 is: 4,322,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,669 : 1,996,970 = 1,996,970 : x
  2. Step 2: Convert to fraction form
    922,669/1,996,970 = 1,996,970/x
  3. Step 3: Cross multiply
    922,669x = 1,996,970 × 1,996,970
  4. Step 4: Simplify right side
    922,669x = 3,987,889,180,900
  5. Step 5: Solve for x
    x = 3,987,889,180,900/922,669
  6. Step 6: Final answer
    x = 4,322,123.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.