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Finding the Third Proportional to 269,192,820 and 585,624,840

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Solution

The third proportional to 269,192,820 and 585,624,840 is: 1,274,017,833.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,192,820 : 585,624,840 = 585,624,840 : x
  2. Step 2: Convert to fraction form
    269,192,820/585,624,840 = 585,624,840/x
  3. Step 3: Cross multiply
    269,192,820x = 585,624,840 × 585,624,840
  4. Step 4: Simplify right side
    269,192,820x = 342,956,453,225,025,600
  5. Step 5: Solve for x
    x = 342,956,453,225,025,600/269,192,820
  6. Step 6: Final answer
    x = 1,274,017,833.11

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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.