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Finding the Third Proportional to 822,639.38 and 1,834,319.06

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Solution

The third proportional to 822,639.38 and 1,834,319.06 is: 4,090,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,639.38 : 1,834,319.06 = 1,834,319.06 : x
  2. Step 2: Convert to fraction form
    822,639.38/1,834,319.06 = 1,834,319.06/x
  3. Step 3: Cross multiply
    822,639.38x = 1,834,319.06 × 1,834,319.06
  4. Step 4: Simplify right side
    822,639.38x = 3,364,726,423,050.88
  5. Step 5: Solve for x
    x = 3,364,726,423,050.88/822,639.38
  6. Step 6: Final answer
    x = 4,090,159.70

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.