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Finding the Third Proportional to 1,076,099.06 and 1,648,047.09

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Solution

The third proportional to 1,076,099.06 and 1,648,047.09 is: 2,523,986.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,099.06 : 1,648,047.09 = 1,648,047.09 : x
  2. Step 2: Convert to fraction form
    1,076,099.06/1,648,047.09 = 1,648,047.09/x
  3. Step 3: Cross multiply
    1,076,099.06x = 1,648,047.09 × 1,648,047.09
  4. Step 4: Simplify right side
    1,076,099.06x = 2,716,059,223,217.82
  5. Step 5: Solve for x
    x = 2,716,059,223,217.82/1,076,099.06
  6. Step 6: Final answer
    x = 2,523,986.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.