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Finding the Third Proportional to 974,733.66 and 2,173,590.19

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Solution

The third proportional to 974,733.66 and 2,173,590.19 is: 4,846,959.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,733.66 : 2,173,590.19 = 2,173,590.19 : x
  2. Step 2: Convert to fraction form
    974,733.66/2,173,590.19 = 2,173,590.19/x
  3. Step 3: Cross multiply
    974,733.66x = 2,173,590.19 × 2,173,590.19
  4. Step 4: Simplify right side
    974,733.66x = 4,724,494,303,196.29
  5. Step 5: Solve for x
    x = 4,724,494,303,196.29/974,733.66
  6. Step 6: Final answer
    x = 4,846,959.24

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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.