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Finding the Third Proportional to 833,989 and 1,830,368

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Solution

The third proportional to 833,989 and 1,830,368 is: 4,017,135.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,989 : 1,830,368 = 1,830,368 : x
  2. Step 2: Convert to fraction form
    833,989/1,830,368 = 1,830,368/x
  3. Step 3: Cross multiply
    833,989x = 1,830,368 × 1,830,368
  4. Step 4: Simplify right side
    833,989x = 3,350,247,015,424
  5. Step 5: Solve for x
    x = 3,350,247,015,424/833,989
  6. Step 6: Final answer
    x = 4,017,135.74

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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.