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Finding the Third Proportional to 512,356.50 and 1,095,652.13

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Solution

The third proportional to 512,356.50 and 1,095,652.13 is: 2,343,004.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,356.50 : 1,095,652.13 = 1,095,652.13 : x
  2. Step 2: Convert to fraction form
    512,356.50/1,095,652.13 = 1,095,652.13/x
  3. Step 3: Cross multiply
    512,356.50x = 1,095,652.13 × 1,095,652.13
  4. Step 4: Simplify right side
    512,356.50x = 1,200,453,579,017.02
  5. Step 5: Solve for x
    x = 1,200,453,579,017.02/512,356.50
  6. Step 6: Final answer
    x = 2,343,004.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.