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Finding the Third Proportional to 1,133,919.63 and 1,755,728.16

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Solution

The third proportional to 1,133,919.63 and 1,755,728.16 is: 2,718,518.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133,919.63 : 1,755,728.16 = 1,755,728.16 : x
  2. Step 2: Convert to fraction form
    1,133,919.63/1,755,728.16 = 1,755,728.16/x
  3. Step 3: Cross multiply
    1,133,919.63x = 1,755,728.16 × 1,755,728.16
  4. Step 4: Simplify right side
    1,133,919.63x = 3,082,581,358,649.02
  5. Step 5: Solve for x
    x = 3,082,581,358,649.02/1,133,919.63
  6. Step 6: Final answer
    x = 2,718,518.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.