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Finding the Third Proportional to 964,430 and 2,074,021

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Solution

The third proportional to 964,430 and 2,074,021 is: 4,460,212.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,430 : 2,074,021 = 2,074,021 : x
  2. Step 2: Convert to fraction form
    964,430/2,074,021 = 2,074,021/x
  3. Step 3: Cross multiply
    964,430x = 2,074,021 × 2,074,021
  4. Step 4: Simplify right side
    964,430x = 4,301,563,108,441
  5. Step 5: Solve for x
    x = 4,301,563,108,441/964,430
  6. Step 6: Final answer
    x = 4,460,212.88

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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.