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Finding the Third Proportional to 524,719.13 and 1,112,495.63

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Solution

The third proportional to 524,719.13 and 1,112,495.63 is: 2,358,683.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,719.13 : 1,112,495.63 = 1,112,495.63 : x
  2. Step 2: Convert to fraction form
    524,719.13/1,112,495.63 = 1,112,495.63/x
  3. Step 3: Cross multiply
    524,719.13x = 1,112,495.63 × 1,112,495.63
  4. Step 4: Simplify right side
    524,719.13x = 1,237,646,515,644.14
  5. Step 5: Solve for x
    x = 1,237,646,515,644.14/524,719.13
  6. Step 6: Final answer
    x = 2,358,683.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.