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Finding the Third Proportional to 917,284 and 1,945,576

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Solution

The third proportional to 917,284 and 1,945,576 is: 4,126,601.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,284 : 1,945,576 = 1,945,576 : x
  2. Step 2: Convert to fraction form
    917,284/1,945,576 = 1,945,576/x
  3. Step 3: Cross multiply
    917,284x = 1,945,576 × 1,945,576
  4. Step 4: Simplify right side
    917,284x = 3,785,265,971,776
  5. Step 5: Solve for x
    x = 3,785,265,971,776/917,284
  6. Step 6: Final answer
    x = 4,126,601.98

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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.