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Finding the Third Proportional to 985,424 and 2,122,658

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Solution

The third proportional to 985,424 and 2,122,658 is: 4,572,323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,424 : 2,122,658 = 2,122,658 : x
  2. Step 2: Convert to fraction form
    985,424/2,122,658 = 2,122,658/x
  3. Step 3: Cross multiply
    985,424x = 2,122,658 × 2,122,658
  4. Step 4: Simplify right side
    985,424x = 4,505,676,984,964
  5. Step 5: Solve for x
    x = 4,505,676,984,964/985,424
  6. Step 6: Final answer
    x = 4,572,323.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.