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Finding the Third Proportional to 1,019,370 and 1,619,457

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Solution

The third proportional to 1,019,370 and 1,619,457 is: 2,572,805.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,370 : 1,619,457 = 1,619,457 : x
  2. Step 2: Convert to fraction form
    1,019,370/1,619,457 = 1,619,457/x
  3. Step 3: Cross multiply
    1,019,370x = 1,619,457 × 1,619,457
  4. Step 4: Simplify right side
    1,019,370x = 2,622,640,974,849
  5. Step 5: Solve for x
    x = 2,622,640,974,849/1,019,370
  6. Step 6: Final answer
    x = 2,572,805.73

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.