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Finding the Third Proportional to 452,470 and 949,004

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Solution

The third proportional to 452,470 and 949,004 is: 1,990,427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,470 : 949,004 = 949,004 : x
  2. Step 2: Convert to fraction form
    452,470/949,004 = 949,004/x
  3. Step 3: Cross multiply
    452,470x = 949,004 × 949,004
  4. Step 4: Simplify right side
    452,470x = 900,608,592,016
  5. Step 5: Solve for x
    x = 900,608,592,016/452,470
  6. Step 6: Final answer
    x = 1,990,427.19

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.