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Finding the Third Proportional to 908,064 and 1,369,008

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Solution

The third proportional to 908,064 and 1,369,008 is: 2,063,932.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,064 : 1,369,008 = 1,369,008 : x
  2. Step 2: Convert to fraction form
    908,064/1,369,008 = 1,369,008/x
  3. Step 3: Cross multiply
    908,064x = 1,369,008 × 1,369,008
  4. Step 4: Simplify right side
    908,064x = 1,874,182,904,064
  5. Step 5: Solve for x
    x = 1,874,182,904,064/908,064
  6. Step 6: Final answer
    x = 2,063,932.61

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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.