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Finding the Third Proportional to 678,010 and 920,814

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Solution

The third proportional to 678,010 and 920,814 is: 1,250,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,010 : 920,814 = 920,814 : x
  2. Step 2: Convert to fraction form
    678,010/920,814 = 920,814/x
  3. Step 3: Cross multiply
    678,010x = 920,814 × 920,814
  4. Step 4: Simplify right side
    678,010x = 847,898,422,596
  5. Step 5: Solve for x
    x = 847,898,422,596/678,010
  6. Step 6: Final answer
    x = 1,250,569.20

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Why These Related Problems?

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