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Finding the Third Proportional to 1,365,963.75 and 2,004,658.88

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Solution

The third proportional to 1,365,963.75 and 2,004,658.88 is: 2,941,994.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,963.75 : 2,004,658.88 = 2,004,658.88 : x
  2. Step 2: Convert to fraction form
    1,365,963.75/2,004,658.88 = 2,004,658.88/x
  3. Step 3: Cross multiply
    1,365,963.75x = 2,004,658.88 × 2,004,658.88
  4. Step 4: Simplify right side
    1,365,963.75x = 4,018,657,205,116.27
  5. Step 5: Solve for x
    x = 4,018,657,205,116.27/1,365,963.75
  6. Step 6: Final answer
    x = 2,941,994.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.