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Finding the Third Proportional to 670,680 and 1,014,678

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Solution

The third proportional to 670,680 and 1,014,678 is: 1,535,115.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,680 : 1,014,678 = 1,014,678 : x
  2. Step 2: Convert to fraction form
    670,680/1,014,678 = 1,014,678/x
  3. Step 3: Cross multiply
    670,680x = 1,014,678 × 1,014,678
  4. Step 4: Simplify right side
    670,680x = 1,029,571,443,684
  5. Step 5: Solve for x
    x = 1,029,571,443,684/670,680
  6. Step 6: Final answer
    x = 1,535,115.77

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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.