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Finding the Third Proportional to 964,374 and 2,100,190

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Solution

The third proportional to 964,374 and 2,100,190 is: 4,573,742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,374 : 2,100,190 = 2,100,190 : x
  2. Step 2: Convert to fraction form
    964,374/2,100,190 = 2,100,190/x
  3. Step 3: Cross multiply
    964,374x = 2,100,190 × 2,100,190
  4. Step 4: Simplify right side
    964,374x = 4,410,798,036,100
  5. Step 5: Solve for x
    x = 4,410,798,036,100/964,374
  6. Step 6: Final answer
    x = 4,573,742.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.