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Finding the Third Proportional to 936,534 and 2,005,929

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Solution

The third proportional to 936,534 and 2,005,929 is: 4,296,428.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,534 : 2,005,929 = 2,005,929 : x
  2. Step 2: Convert to fraction form
    936,534/2,005,929 = 2,005,929/x
  3. Step 3: Cross multiply
    936,534x = 2,005,929 × 2,005,929
  4. Step 4: Simplify right side
    936,534x = 4,023,751,153,041
  5. Step 5: Solve for x
    x = 4,023,751,153,041/936,534
  6. Step 6: Final answer
    x = 4,296,428.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.