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Finding the Third Proportional to 1,585,245 and 3,533,554.50

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Solution

The third proportional to 1,585,245 and 3,533,554.50 is: 7,876,389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,245 : 3,533,554.50 = 3,533,554.50 : x
  2. Step 2: Convert to fraction form
    1,585,245/3,533,554.50 = 3,533,554.50/x
  3. Step 3: Cross multiply
    1,585,245x = 3,533,554.50 × 3,533,554.50
  4. Step 4: Simplify right side
    1,585,245x = 12,486,007,404,470.25
  5. Step 5: Solve for x
    x = 12,486,007,404,470.25/1,585,245
  6. Step 6: Final answer
    x = 7,876,389.71

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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.