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Finding the Third Proportional to 460,111 and 942,534

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Solution

The third proportional to 460,111 and 942,534 is: 1,930,773.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,111 : 942,534 = 942,534 : x
  2. Step 2: Convert to fraction form
    460,111/942,534 = 942,534/x
  3. Step 3: Cross multiply
    460,111x = 942,534 × 942,534
  4. Step 4: Simplify right side
    460,111x = 888,370,341,156
  5. Step 5: Solve for x
    x = 888,370,341,156/460,111
  6. Step 6: Final answer
    x = 1,930,773.97

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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.