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Finding the Third Proportional to 991,703 and 2,035,678

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Solution

The third proportional to 991,703 and 2,035,678 is: 4,178,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,703 : 2,035,678 = 2,035,678 : x
  2. Step 2: Convert to fraction form
    991,703/2,035,678 = 2,035,678/x
  3. Step 3: Cross multiply
    991,703x = 2,035,678 × 2,035,678
  4. Step 4: Simplify right side
    991,703x = 4,143,984,919,684
  5. Step 5: Solve for x
    x = 4,143,984,919,684/991,703
  6. Step 6: Final answer
    x = 4,178,655.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.