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Finding the Third Proportional to 957,510 and 1,456,164

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Solution

The third proportional to 957,510 and 1,456,164 is: 2,214,508.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,510 : 1,456,164 = 1,456,164 : x
  2. Step 2: Convert to fraction form
    957,510/1,456,164 = 1,456,164/x
  3. Step 3: Cross multiply
    957,510x = 1,456,164 × 1,456,164
  4. Step 4: Simplify right side
    957,510x = 2,120,413,594,896
  5. Step 5: Solve for x
    x = 2,120,413,594,896/957,510
  6. Step 6: Final answer
    x = 2,214,508.04

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.