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Finding the Third Proportional to 830,082 and 1,813,934.25

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Solution

The third proportional to 830,082 and 1,813,934.25 is: 3,963,894.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,082 : 1,813,934.25 = 1,813,934.25 : x
  2. Step 2: Convert to fraction form
    830,082/1,813,934.25 = 1,813,934.25/x
  3. Step 3: Cross multiply
    830,082x = 1,813,934.25 × 1,813,934.25
  4. Step 4: Simplify right side
    830,082x = 3,290,357,463,323.06
  5. Step 5: Solve for x
    x = 3,290,357,463,323.06/830,082
  6. Step 6: Final answer
    x = 3,963,894.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.