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Finding the Third Proportional to 1,776,742 and 2,598,731

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Solution

The third proportional to 1,776,742 and 2,598,731 is: 3,801,003.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776,742 : 2,598,731 = 2,598,731 : x
  2. Step 2: Convert to fraction form
    1,776,742/2,598,731 = 2,598,731/x
  3. Step 3: Cross multiply
    1,776,742x = 2,598,731 × 2,598,731
  4. Step 4: Simplify right side
    1,776,742x = 6,753,402,810,361
  5. Step 5: Solve for x
    x = 6,753,402,810,361/1,776,742
  6. Step 6: Final answer
    x = 3,801,003.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.