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Finding the Third Proportional to 985,938 and 2,121,321

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Solution

The third proportional to 985,938 and 2,121,321 is: 4,564,184.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,938 : 2,121,321 = 2,121,321 : x
  2. Step 2: Convert to fraction form
    985,938/2,121,321 = 2,121,321/x
  3. Step 3: Cross multiply
    985,938x = 2,121,321 × 2,121,321
  4. Step 4: Simplify right side
    985,938x = 4,500,002,785,041
  5. Step 5: Solve for x
    x = 4,500,002,785,041/985,938
  6. Step 6: Final answer
    x = 4,564,184.35

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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.