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Finding the Third Proportional to 504,770 and 1,076,920

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Solution

The third proportional to 504,770 and 1,076,920 is: 2,297,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,770 : 1,076,920 = 1,076,920 : x
  2. Step 2: Convert to fraction form
    504,770/1,076,920 = 1,076,920/x
  3. Step 3: Cross multiply
    504,770x = 1,076,920 × 1,076,920
  4. Step 4: Simplify right side
    504,770x = 1,159,756,686,400
  5. Step 5: Solve for x
    x = 1,159,756,686,400/504,770
  6. Step 6: Final answer
    x = 2,297,594.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.