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Finding the Third Proportional to 585,792 and 1,269,270

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Solution

The third proportional to 585,792 and 1,269,270 is: 2,750,202.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,792 : 1,269,270 = 1,269,270 : x
  2. Step 2: Convert to fraction form
    585,792/1,269,270 = 1,269,270/x
  3. Step 3: Cross multiply
    585,792x = 1,269,270 × 1,269,270
  4. Step 4: Simplify right side
    585,792x = 1,611,046,332,900
  5. Step 5: Solve for x
    x = 1,611,046,332,900/585,792
  6. Step 6: Final answer
    x = 2,750,202.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.