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Finding the Third Proportional to 524,880 and 1,084,752

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Solution

The third proportional to 524,880 and 1,084,752 is: 2,241,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,880 : 1,084,752 = 1,084,752 : x
  2. Step 2: Convert to fraction form
    524,880/1,084,752 = 1,084,752/x
  3. Step 3: Cross multiply
    524,880x = 1,084,752 × 1,084,752
  4. Step 4: Simplify right side
    524,880x = 1,176,686,901,504
  5. Step 5: Solve for x
    x = 1,176,686,901,504/524,880
  6. Step 6: Final answer
    x = 2,241,820.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.