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Finding the Third Proportional to 790,140 and 1,737,816

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Solution

The third proportional to 790,140 and 1,737,816 is: 3,822,113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,140 : 1,737,816 = 1,737,816 : x
  2. Step 2: Convert to fraction form
    790,140/1,737,816 = 1,737,816/x
  3. Step 3: Cross multiply
    790,140x = 1,737,816 × 1,737,816
  4. Step 4: Simplify right side
    790,140x = 3,020,004,449,856
  5. Step 5: Solve for x
    x = 3,020,004,449,856/790,140
  6. Step 6: Final answer
    x = 3,822,113.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.