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Finding the Third Proportional to 1,036,214 and 1,598,602

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Solution

The third proportional to 1,036,214 and 1,598,602 is: 2,466,216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,214 : 1,598,602 = 1,598,602 : x
  2. Step 2: Convert to fraction form
    1,036,214/1,598,602 = 1,598,602/x
  3. Step 3: Cross multiply
    1,036,214x = 1,598,602 × 1,598,602
  4. Step 4: Simplify right side
    1,036,214x = 2,555,528,354,404
  5. Step 5: Solve for x
    x = 2,555,528,354,404/1,036,214
  6. Step 6: Final answer
    x = 2,466,216.78

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.