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Finding the Third Proportional to 947,528 and 1,933,118

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Solution

The third proportional to 947,528 and 1,933,118 is: 3,943,888.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,528 : 1,933,118 = 1,933,118 : x
  2. Step 2: Convert to fraction form
    947,528/1,933,118 = 1,933,118/x
  3. Step 3: Cross multiply
    947,528x = 1,933,118 × 1,933,118
  4. Step 4: Simplify right side
    947,528x = 3,736,945,201,924
  5. Step 5: Solve for x
    x = 3,736,945,201,924/947,528
  6. Step 6: Final answer
    x = 3,943,888.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.