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Finding the Third Proportional to 840,276 and 1,261,035

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Solution

The third proportional to 840,276 and 1,261,035 is: 1,892,484.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,276 : 1,261,035 = 1,261,035 : x
  2. Step 2: Convert to fraction form
    840,276/1,261,035 = 1,261,035/x
  3. Step 3: Cross multiply
    840,276x = 1,261,035 × 1,261,035
  4. Step 4: Simplify right side
    840,276x = 1,590,209,271,225
  5. Step 5: Solve for x
    x = 1,590,209,271,225/840,276
  6. Step 6: Final answer
    x = 1,892,484.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.