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Finding the Third Proportional to 676,993 and 1,484,369

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Solution

The third proportional to 676,993 and 1,484,369 is: 3,254,614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,993 : 1,484,369 = 1,484,369 : x
  2. Step 2: Convert to fraction form
    676,993/1,484,369 = 1,484,369/x
  3. Step 3: Cross multiply
    676,993x = 1,484,369 × 1,484,369
  4. Step 4: Simplify right side
    676,993x = 2,203,351,328,161
  5. Step 5: Solve for x
    x = 2,203,351,328,161/676,993
  6. Step 6: Final answer
    x = 3,254,614.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.