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Finding the Third Proportional to 678,148 and 1,025,951

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Solution

The third proportional to 678,148 and 1,025,951 is: 1,552,132.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,148 : 1,025,951 = 1,025,951 : x
  2. Step 2: Convert to fraction form
    678,148/1,025,951 = 1,025,951/x
  3. Step 3: Cross multiply
    678,148x = 1,025,951 × 1,025,951
  4. Step 4: Simplify right side
    678,148x = 1,052,575,454,401
  5. Step 5: Solve for x
    x = 1,052,575,454,401/678,148
  6. Step 6: Final answer
    x = 1,552,132.36

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Why These Related Problems?

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