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Finding the Third Proportional to 563,386.01 and 1,193,811.54

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Solution

The third proportional to 563,386.01 and 1,193,811.54 is: 2,529,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,386.01 : 1,193,811.54 = 1,193,811.54 : x
  2. Step 2: Convert to fraction form
    563,386.01/1,193,811.54 = 1,193,811.54/x
  3. Step 3: Cross multiply
    563,386.01x = 1,193,811.54 × 1,193,811.54
  4. Step 4: Simplify right side
    563,386.01x = 1,425,185,990,798.78
  5. Step 5: Solve for x
    x = 1,425,185,990,798.78/563,386.01
  6. Step 6: Final answer
    x = 2,529,679.42

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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.