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Finding the Third Proportional to 678,486.38 and 921,450.94

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Solution

The third proportional to 678,486.38 and 921,450.94 is: 1,251,420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,486.38 : 921,450.94 = 921,450.94 : x
  2. Step 2: Convert to fraction form
    678,486.38/921,450.94 = 921,450.94/x
  3. Step 3: Cross multiply
    678,486.38x = 921,450.94 × 921,450.94
  4. Step 4: Simplify right side
    678,486.38x = 849,071,830,219.63
  5. Step 5: Solve for x
    x = 849,071,830,219.63/678,486.38
  6. Step 6: Final answer
    x = 1,251,420.61

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.