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Finding the Third Proportional to 485,125 and 1,020,521

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Solution

The third proportional to 485,125 and 1,020,521 is: 2,146,793.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,125 : 1,020,521 = 1,020,521 : x
  2. Step 2: Convert to fraction form
    485,125/1,020,521 = 1,020,521/x
  3. Step 3: Cross multiply
    485,125x = 1,020,521 × 1,020,521
  4. Step 4: Simplify right side
    485,125x = 1,041,463,111,441
  5. Step 5: Solve for x
    x = 1,041,463,111,441/485,125
  6. Step 6: Final answer
    x = 2,146,793.32

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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.