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Finding the Third Proportional to 1,772,481 and 3,865,770

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Solution

The third proportional to 1,772,481 and 3,865,770 is: 8,431,220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772,481 : 3,865,770 = 3,865,770 : x
  2. Step 2: Convert to fraction form
    1,772,481/3,865,770 = 3,865,770/x
  3. Step 3: Cross multiply
    1,772,481x = 3,865,770 × 3,865,770
  4. Step 4: Simplify right side
    1,772,481x = 14,944,177,692,900
  5. Step 5: Solve for x
    x = 14,944,177,692,900/1,772,481
  6. Step 6: Final answer
    x = 8,431,220.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.