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Finding the Third Proportional to 680,457 and 1,483,386

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Solution

The third proportional to 680,457 and 1,483,386 is: 3,233,759.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,457 : 1,483,386 = 1,483,386 : x
  2. Step 2: Convert to fraction form
    680,457/1,483,386 = 1,483,386/x
  3. Step 3: Cross multiply
    680,457x = 1,483,386 × 1,483,386
  4. Step 4: Simplify right side
    680,457x = 2,200,434,024,996
  5. Step 5: Solve for x
    x = 2,200,434,024,996/680,457
  6. Step 6: Final answer
    x = 3,233,759.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.