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Finding the Third Proportional to 836,910 and 1,830,312

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Solution

The third proportional to 836,910 and 1,830,312 is: 4,002,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,910 : 1,830,312 = 1,830,312 : x
  2. Step 2: Convert to fraction form
    836,910/1,830,312 = 1,830,312/x
  3. Step 3: Cross multiply
    836,910x = 1,830,312 × 1,830,312
  4. Step 4: Simplify right side
    836,910x = 3,350,042,017,344
  5. Step 5: Solve for x
    x = 3,350,042,017,344/836,910
  6. Step 6: Final answer
    x = 4,002,870.10

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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.