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Finding the Third Proportional to 917,319 and 1,945,644

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Solution

The third proportional to 917,319 and 1,945,644 is: 4,126,732.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,319 : 1,945,644 = 1,945,644 : x
  2. Step 2: Convert to fraction form
    917,319/1,945,644 = 1,945,644/x
  3. Step 3: Cross multiply
    917,319x = 1,945,644 × 1,945,644
  4. Step 4: Simplify right side
    917,319x = 3,785,530,574,736
  5. Step 5: Solve for x
    x = 3,785,530,574,736/917,319
  6. Step 6: Final answer
    x = 4,126,732.98

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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.