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Finding the Third Proportional to 449,368 and 954,152

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Solution

The third proportional to 449,368 and 954,152 is: 2,025,969.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,368 : 954,152 = 954,152 : x
  2. Step 2: Convert to fraction form
    449,368/954,152 = 954,152/x
  3. Step 3: Cross multiply
    449,368x = 954,152 × 954,152
  4. Step 4: Simplify right side
    449,368x = 910,406,039,104
  5. Step 5: Solve for x
    x = 910,406,039,104/449,368
  6. Step 6: Final answer
    x = 2,025,969.89

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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.