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Finding the Third Proportional to 947,310.19 and 2,076,256.13

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Solution

The third proportional to 947,310.19 and 2,076,256.13 is: 4,550,610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,310.19 : 2,076,256.13 = 2,076,256.13 : x
  2. Step 2: Convert to fraction form
    947,310.19/2,076,256.13 = 2,076,256.13/x
  3. Step 3: Cross multiply
    947,310.19x = 2,076,256.13 × 2,076,256.13
  4. Step 4: Simplify right side
    947,310.19x = 4,310,839,496,600.02
  5. Step 5: Solve for x
    x = 4,310,839,496,600.02/947,310.19
  6. Step 6: Final answer
    x = 4,550,610.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.