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Finding the Third Proportional to 945,528 and 2,101,016

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Solution

The third proportional to 945,528 and 2,101,016 is: 4,668,574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,528 : 2,101,016 = 2,101,016 : x
  2. Step 2: Convert to fraction form
    945,528/2,101,016 = 2,101,016/x
  3. Step 3: Cross multiply
    945,528x = 2,101,016 × 2,101,016
  4. Step 4: Simplify right side
    945,528x = 4,414,268,232,256
  5. Step 5: Solve for x
    x = 4,414,268,232,256/945,528
  6. Step 6: Final answer
    x = 4,668,574.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.