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Finding the Third Proportional to 563,968.41 and 1,174,409.72

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Solution

The third proportional to 563,968.41 and 1,174,409.72 is: 2,445,594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,968.41 : 1,174,409.72 = 1,174,409.72 : x
  2. Step 2: Convert to fraction form
    563,968.41/1,174,409.72 = 1,174,409.72/x
  3. Step 3: Cross multiply
    563,968.41x = 1,174,409.72 × 1,174,409.72
  4. Step 4: Simplify right side
    563,968.41x = 1,379,238,187,494.45
  5. Step 5: Solve for x
    x = 1,379,238,187,494.45/563,968.41
  6. Step 6: Final answer
    x = 2,445,594.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.