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Finding the Third Proportional to 964,434 and 2,074,029

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Solution

The third proportional to 964,434 and 2,074,029 is: 4,460,228.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,434 : 2,074,029 = 2,074,029 : x
  2. Step 2: Convert to fraction form
    964,434/2,074,029 = 2,074,029/x
  3. Step 3: Cross multiply
    964,434x = 2,074,029 × 2,074,029
  4. Step 4: Simplify right side
    964,434x = 4,301,596,292,841
  5. Step 5: Solve for x
    x = 4,301,596,292,841/964,434
  6. Step 6: Final answer
    x = 4,460,228.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.