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Finding the Third Proportional to 818,364.94 and 1,767,403.13

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Solution

The third proportional to 818,364.94 and 1,767,403.13 is: 3,817,018.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,364.94 : 1,767,403.13 = 1,767,403.13 : x
  2. Step 2: Convert to fraction form
    818,364.94/1,767,403.13 = 1,767,403.13/x
  3. Step 3: Cross multiply
    818,364.94x = 1,767,403.13 × 1,767,403.13
  4. Step 4: Simplify right side
    818,364.94x = 3,123,713,806,259.77
  5. Step 5: Solve for x
    x = 3,123,713,806,259.77/818,364.94
  6. Step 6: Final answer
    x = 3,817,018.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.