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Finding the Third Proportional to 683,994 and 1,484,810

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Solution

The third proportional to 683,994 and 1,484,810 is: 3,223,216.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,994 : 1,484,810 = 1,484,810 : x
  2. Step 2: Convert to fraction form
    683,994/1,484,810 = 1,484,810/x
  3. Step 3: Cross multiply
    683,994x = 1,484,810 × 1,484,810
  4. Step 4: Simplify right side
    683,994x = 2,204,660,736,100
  5. Step 5: Solve for x
    x = 2,204,660,736,100/683,994
  6. Step 6: Final answer
    x = 3,223,216.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.