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Finding the Third Proportional to 670,689 and 1,014,705

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Solution

The third proportional to 670,689 and 1,014,705 is: 1,535,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,689 : 1,014,705 = 1,014,705 : x
  2. Step 2: Convert to fraction form
    670,689/1,014,705 = 1,014,705/x
  3. Step 3: Cross multiply
    670,689x = 1,014,705 × 1,014,705
  4. Step 4: Simplify right side
    670,689x = 1,029,626,237,025
  5. Step 5: Solve for x
    x = 1,029,626,237,025/670,689
  6. Step 6: Final answer
    x = 1,535,176.87

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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.