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Finding the Third Proportional to 1,226,329.88 and 1,755,416.81

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Solution

The third proportional to 1,226,329.88 and 1,755,416.81 is: 2,512,772.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226,329.88 : 1,755,416.81 = 1,755,416.81 : x
  2. Step 2: Convert to fraction form
    1,226,329.88/1,755,416.81 = 1,755,416.81/x
  3. Step 3: Cross multiply
    1,226,329.88x = 1,755,416.81 × 1,755,416.81
  4. Step 4: Simplify right side
    1,226,329.88x = 3,081,488,185,607.66
  5. Step 5: Solve for x
    x = 3,081,488,185,607.66/1,226,329.88
  6. Step 6: Final answer
    x = 2,512,772.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.