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Finding the Third Proportional to 1,114,205.63 and 2,442,004.88

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Solution

The third proportional to 1,114,205.63 and 2,442,004.88 is: 5,352,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114,205.63 : 2,442,004.88 = 2,442,004.88 : x
  2. Step 2: Convert to fraction form
    1,114,205.63/2,442,004.88 = 2,442,004.88/x
  3. Step 3: Cross multiply
    1,114,205.63x = 2,442,004.88 × 2,442,004.88
  4. Step 4: Simplify right side
    1,114,205.63x = 5,963,387,809,523.77
  5. Step 5: Solve for x
    x = 5,963,387,809,523.77/1,114,205.63
  6. Step 6: Final answer
    x = 5,352,142.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.