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Finding the Third Proportional to 736,178.63 and 1,557,237.66

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Solution

The third proportional to 736,178.63 and 1,557,237.66 is: 3,294,022.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,178.63 : 1,557,237.66 = 1,557,237.66 : x
  2. Step 2: Convert to fraction form
    736,178.63/1,557,237.66 = 1,557,237.66/x
  3. Step 3: Cross multiply
    736,178.63x = 1,557,237.66 × 1,557,237.66
  4. Step 4: Simplify right side
    736,178.63x = 2,424,989,118,042.99
  5. Step 5: Solve for x
    x = 2,424,989,118,042.99/736,178.63
  6. Step 6: Final answer
    x = 3,294,022.72

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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.