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Finding the Third Proportional to 678,012 and 920,829

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Solution

The third proportional to 678,012 and 920,829 is: 1,250,606.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,012 : 920,829 = 920,829 : x
  2. Step 2: Convert to fraction form
    678,012/920,829 = 920,829/x
  3. Step 3: Cross multiply
    678,012x = 920,829 × 920,829
  4. Step 4: Simplify right side
    678,012x = 847,926,047,241
  5. Step 5: Solve for x
    x = 847,926,047,241/678,012
  6. Step 6: Final answer
    x = 1,250,606.25

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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.