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Finding the Third Proportional to 670,073 and 1,036,215

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Solution

The third proportional to 670,073 and 1,036,215 is: 1,602,424.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,073 : 1,036,215 = 1,036,215 : x
  2. Step 2: Convert to fraction form
    670,073/1,036,215 = 1,036,215/x
  3. Step 3: Cross multiply
    670,073x = 1,036,215 × 1,036,215
  4. Step 4: Simplify right side
    670,073x = 1,073,741,526,225
  5. Step 5: Solve for x
    x = 1,073,741,526,225/670,073
  6. Step 6: Final answer
    x = 1,602,424.70

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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.