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Finding the Third Proportional to 978,020 and 1,496,092

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Solution

The third proportional to 978,020 and 1,496,092 is: 2,288,594.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,020 : 1,496,092 = 1,496,092 : x
  2. Step 2: Convert to fraction form
    978,020/1,496,092 = 1,496,092/x
  3. Step 3: Cross multiply
    978,020x = 1,496,092 × 1,496,092
  4. Step 4: Simplify right side
    978,020x = 2,238,291,272,464
  5. Step 5: Solve for x
    x = 2,238,291,272,464/978,020
  6. Step 6: Final answer
    x = 2,288,594.58

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.