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Finding the Third Proportional to 767,487 and 1,628,484

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Solution

The third proportional to 767,487 and 1,628,484 is: 3,455,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,487 : 1,628,484 = 1,628,484 : x
  2. Step 2: Convert to fraction form
    767,487/1,628,484 = 1,628,484/x
  3. Step 3: Cross multiply
    767,487x = 1,628,484 × 1,628,484
  4. Step 4: Simplify right side
    767,487x = 2,651,960,138,256
  5. Step 5: Solve for x
    x = 2,651,960,138,256/767,487
  6. Step 6: Final answer
    x = 3,455,381.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.