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Finding the Third Proportional to 927,342 and 1,954,313

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Solution

The third proportional to 927,342 and 1,954,313 is: 4,118,587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,342 : 1,954,313 = 1,954,313 : x
  2. Step 2: Convert to fraction form
    927,342/1,954,313 = 1,954,313/x
  3. Step 3: Cross multiply
    927,342x = 1,954,313 × 1,954,313
  4. Step 4: Simplify right side
    927,342x = 3,819,339,301,969
  5. Step 5: Solve for x
    x = 3,819,339,301,969/927,342
  6. Step 6: Final answer
    x = 4,118,587.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.