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Finding the Third Proportional to 1,456,680 and 2,971,176

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Solution

The third proportional to 1,456,680 and 2,971,176 is: 6,060,278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,680 : 2,971,176 = 2,971,176 : x
  2. Step 2: Convert to fraction form
    1,456,680/2,971,176 = 2,971,176/x
  3. Step 3: Cross multiply
    1,456,680x = 2,971,176 × 2,971,176
  4. Step 4: Simplify right side
    1,456,680x = 8,827,886,822,976
  5. Step 5: Solve for x
    x = 8,827,886,822,976/1,456,680
  6. Step 6: Final answer
    x = 6,060,278.73

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.