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Finding the Third Proportional to 427,601 and 922,999

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Solution

The third proportional to 427,601 and 922,999 is: 1,992,341.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,601 : 922,999 = 922,999 : x
  2. Step 2: Convert to fraction form
    427,601/922,999 = 922,999/x
  3. Step 3: Cross multiply
    427,601x = 922,999 × 922,999
  4. Step 4: Simplify right side
    427,601x = 851,927,154,001
  5. Step 5: Solve for x
    x = 851,927,154,001/427,601
  6. Step 6: Final answer
    x = 1,992,341.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.