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Finding the Third Proportional to 983,380 and 1,484,062

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Solution

The third proportional to 983,380 and 1,484,062 is: 2,239,663.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,380 : 1,484,062 = 1,484,062 : x
  2. Step 2: Convert to fraction form
    983,380/1,484,062 = 1,484,062/x
  3. Step 3: Cross multiply
    983,380x = 1,484,062 × 1,484,062
  4. Step 4: Simplify right side
    983,380x = 2,202,440,019,844
  5. Step 5: Solve for x
    x = 2,202,440,019,844/983,380
  6. Step 6: Final answer
    x = 2,239,663.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.