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Finding the Third Proportional to 434,989 and 922,202

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Solution

The third proportional to 434,989 and 922,202 is: 1,955,121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,989 : 922,202 = 922,202 : x
  2. Step 2: Convert to fraction form
    434,989/922,202 = 922,202/x
  3. Step 3: Cross multiply
    434,989x = 922,202 × 922,202
  4. Step 4: Simplify right side
    434,989x = 850,456,528,804
  5. Step 5: Solve for x
    x = 850,456,528,804/434,989
  6. Step 6: Final answer
    x = 1,955,121.92

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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.