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Finding the Third Proportional to 1,496,159.81 and 2,369,496.94

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Solution

The third proportional to 1,496,159.81 and 2,369,496.94 is: 3,752,617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496,159.81 : 2,369,496.94 = 2,369,496.94 : x
  2. Step 2: Convert to fraction form
    1,496,159.81/2,369,496.94 = 2,369,496.94/x
  3. Step 3: Cross multiply
    1,496,159.81x = 2,369,496.94 × 2,369,496.94
  4. Step 4: Simplify right side
    1,496,159.81x = 5,614,515,736,821.88
  5. Step 5: Solve for x
    x = 5,614,515,736,821.88/1,496,159.81
  6. Step 6: Final answer
    x = 3,752,617.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.