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Finding the Third Proportional to 1,935,295 and 4,101,313

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Solution

The third proportional to 1,935,295 and 4,101,313 is: 8,691,578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935,295 : 4,101,313 = 4,101,313 : x
  2. Step 2: Convert to fraction form
    1,935,295/4,101,313 = 4,101,313/x
  3. Step 3: Cross multiply
    1,935,295x = 4,101,313 × 4,101,313
  4. Step 4: Simplify right side
    1,935,295x = 16,820,768,323,969
  5. Step 5: Solve for x
    x = 16,820,768,323,969/1,935,295
  6. Step 6: Final answer
    x = 8,691,578.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.