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Finding the Third Proportional to 670,096 and 1,036,250

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Solution

The third proportional to 670,096 and 1,036,250 is: 1,602,477.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,096 : 1,036,250 = 1,036,250 : x
  2. Step 2: Convert to fraction form
    670,096/1,036,250 = 1,036,250/x
  3. Step 3: Cross multiply
    670,096x = 1,036,250 × 1,036,250
  4. Step 4: Simplify right side
    670,096x = 1,073,814,062,500
  5. Step 5: Solve for x
    x = 1,073,814,062,500/670,096
  6. Step 6: Final answer
    x = 1,602,477.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.