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Finding the Third Proportional to 771,744 and 1,186,776

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Solution

The third proportional to 771,744 and 1,186,776 is: 1,825,005.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,744 : 1,186,776 = 1,186,776 : x
  2. Step 2: Convert to fraction form
    771,744/1,186,776 = 1,186,776/x
  3. Step 3: Cross multiply
    771,744x = 1,186,776 × 1,186,776
  4. Step 4: Simplify right side
    771,744x = 1,408,437,274,176
  5. Step 5: Solve for x
    x = 1,408,437,274,176/771,744
  6. Step 6: Final answer
    x = 1,825,005.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.