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Finding the Third Proportional to 745,321 and 1,608,659

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Solution

The third proportional to 745,321 and 1,608,659 is: 3,472,039.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,321 : 1,608,659 = 1,608,659 : x
  2. Step 2: Convert to fraction form
    745,321/1,608,659 = 1,608,659/x
  3. Step 3: Cross multiply
    745,321x = 1,608,659 × 1,608,659
  4. Step 4: Simplify right side
    745,321x = 2,587,783,778,281
  5. Step 5: Solve for x
    x = 2,587,783,778,281/745,321
  6. Step 6: Final answer
    x = 3,472,039.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.