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Finding the Third Proportional to 763,124 and 1,657,462

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Solution

The third proportional to 763,124 and 1,657,462 is: 3,599,913.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,124 : 1,657,462 = 1,657,462 : x
  2. Step 2: Convert to fraction form
    763,124/1,657,462 = 1,657,462/x
  3. Step 3: Cross multiply
    763,124x = 1,657,462 × 1,657,462
  4. Step 4: Simplify right side
    763,124x = 2,747,180,281,444
  5. Step 5: Solve for x
    x = 2,747,180,281,444/763,124
  6. Step 6: Final answer
    x = 3,599,913.36

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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.