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Finding the Third Proportional to 680,476 and 1,483,418

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Solution

The third proportional to 680,476 and 1,483,418 is: 3,233,808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,476 : 1,483,418 = 1,483,418 : x
  2. Step 2: Convert to fraction form
    680,476/1,483,418 = 1,483,418/x
  3. Step 3: Cross multiply
    680,476x = 1,483,418 × 1,483,418
  4. Step 4: Simplify right side
    680,476x = 2,200,528,962,724
  5. Step 5: Solve for x
    x = 2,200,528,962,724/680,476
  6. Step 6: Final answer
    x = 3,233,808.34

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