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Finding the Third Proportional to 697,296 and 1,076,700.38

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Solution

The third proportional to 697,296 and 1,076,700.38 is: 1,662,541.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,296 : 1,076,700.38 = 1,076,700.38 : x
  2. Step 2: Convert to fraction form
    697,296/1,076,700.38 = 1,076,700.38/x
  3. Step 3: Cross multiply
    697,296x = 1,076,700.38 × 1,076,700.38
  4. Step 4: Simplify right side
    697,296x = 1,159,283,697,525.14
  5. Step 5: Solve for x
    x = 1,159,283,697,525.14/697,296
  6. Step 6: Final answer
    x = 1,662,541.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.