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Finding the Third Proportional to 763,148 and 1,657,408

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Solution

The third proportional to 763,148 and 1,657,408 is: 3,599,565.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,148 : 1,657,408 = 1,657,408 : x
  2. Step 2: Convert to fraction form
    763,148/1,657,408 = 1,657,408/x
  3. Step 3: Cross multiply
    763,148x = 1,657,408 × 1,657,408
  4. Step 4: Simplify right side
    763,148x = 2,747,001,278,464
  5. Step 5: Solve for x
    x = 2,747,001,278,464/763,148
  6. Step 6: Final answer
    x = 3,599,565.59

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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.