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Finding the Third Proportional to 1,019,732 and 1,619,590

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Solution

The third proportional to 1,019,732 and 1,619,590 is: 2,572,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,732 : 1,619,590 = 1,619,590 : x
  2. Step 2: Convert to fraction form
    1,019,732/1,619,590 = 1,619,590/x
  3. Step 3: Cross multiply
    1,019,732x = 1,619,590 × 1,619,590
  4. Step 4: Simplify right side
    1,019,732x = 2,623,071,768,100
  5. Step 5: Solve for x
    x = 2,623,071,768,100/1,019,732
  6. Step 6: Final answer
    x = 2,572,314.85

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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.