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Finding the Third Proportional to 678,146 and 1,025,948

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Solution

The third proportional to 678,146 and 1,025,948 is: 1,552,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,146 : 1,025,948 = 1,025,948 : x
  2. Step 2: Convert to fraction form
    678,146/1,025,948 = 1,025,948/x
  3. Step 3: Cross multiply
    678,146x = 1,025,948 × 1,025,948
  4. Step 4: Simplify right side
    678,146x = 1,052,569,298,704
  5. Step 5: Solve for x
    x = 1,052,569,298,704/678,146
  6. Step 6: Final answer
    x = 1,552,127.86

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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.