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Finding the Third Proportional to 984,159 and 1,607,031

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Solution

The third proportional to 984,159 and 1,607,031 is: 2,624,117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,159 : 1,607,031 = 1,607,031 : x
  2. Step 2: Convert to fraction form
    984,159/1,607,031 = 1,607,031/x
  3. Step 3: Cross multiply
    984,159x = 1,607,031 × 1,607,031
  4. Step 4: Simplify right side
    984,159x = 2,582,548,634,961
  5. Step 5: Solve for x
    x = 2,582,548,634,961/984,159
  6. Step 6: Final answer
    x = 2,624,117.28

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.