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Finding the Third Proportional to 1,036,766 and 1,692,933

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Solution

The third proportional to 1,036,766 and 1,692,933 is: 2,764,386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,766 : 1,692,933 = 1,692,933 : x
  2. Step 2: Convert to fraction form
    1,036,766/1,692,933 = 1,692,933/x
  3. Step 3: Cross multiply
    1,036,766x = 1,692,933 × 1,692,933
  4. Step 4: Simplify right side
    1,036,766x = 2,866,022,142,489
  5. Step 5: Solve for x
    x = 2,866,022,142,489/1,036,766
  6. Step 6: Final answer
    x = 2,764,386.70

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.