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Finding the Third Proportional to 680,407 and 1,464,817

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Solution

The third proportional to 680,407 and 1,464,817 is: 3,153,537.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,407 : 1,464,817 = 1,464,817 : x
  2. Step 2: Convert to fraction form
    680,407/1,464,817 = 1,464,817/x
  3. Step 3: Cross multiply
    680,407x = 1,464,817 × 1,464,817
  4. Step 4: Simplify right side
    680,407x = 2,145,688,843,489
  5. Step 5: Solve for x
    x = 2,145,688,843,489/680,407
  6. Step 6: Final answer
    x = 3,153,537.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.