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Finding the Third Proportional to 460,119 and 942,549

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Solution

The third proportional to 460,119 and 942,549 is: 1,930,801.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,119 : 942,549 = 942,549 : x
  2. Step 2: Convert to fraction form
    460,119/942,549 = 942,549/x
  3. Step 3: Cross multiply
    460,119x = 942,549 × 942,549
  4. Step 4: Simplify right side
    460,119x = 888,398,617,401
  5. Step 5: Solve for x
    x = 888,398,617,401/460,119
  6. Step 6: Final answer
    x = 1,930,801.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.