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Finding the Third Proportional to 601,734 and 1,321,570

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Solution

The third proportional to 601,734 and 1,321,570 is: 2,902,523.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,734 : 1,321,570 = 1,321,570 : x
  2. Step 2: Convert to fraction form
    601,734/1,321,570 = 1,321,570/x
  3. Step 3: Cross multiply
    601,734x = 1,321,570 × 1,321,570
  4. Step 4: Simplify right side
    601,734x = 1,746,547,264,900
  5. Step 5: Solve for x
    x = 1,746,547,264,900/601,734
  6. Step 6: Final answer
    x = 2,902,523.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.