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Finding the Third Proportional to 749,220 and 1,191,657

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Solution

The third proportional to 749,220 and 1,191,657 is: 1,895,366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,220 : 1,191,657 = 1,191,657 : x
  2. Step 2: Convert to fraction form
    749,220/1,191,657 = 1,191,657/x
  3. Step 3: Cross multiply
    749,220x = 1,191,657 × 1,191,657
  4. Step 4: Simplify right side
    749,220x = 1,420,046,405,649
  5. Step 5: Solve for x
    x = 1,420,046,405,649/749,220
  6. Step 6: Final answer
    x = 1,895,366.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.