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Finding the Third Proportional to 840,910 and 1,838,312

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Solution

The third proportional to 840,910 and 1,838,312 is: 4,018,730.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,910 : 1,838,312 = 1,838,312 : x
  2. Step 2: Convert to fraction form
    840,910/1,838,312 = 1,838,312/x
  3. Step 3: Cross multiply
    840,910x = 1,838,312 × 1,838,312
  4. Step 4: Simplify right side
    840,910x = 3,379,391,009,344
  5. Step 5: Solve for x
    x = 3,379,391,009,344/840,910
  6. Step 6: Final answer
    x = 4,018,730.91

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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.