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Finding the Third Proportional to 2,014,594.50 and 4,147,284

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Solution

The third proportional to 2,014,594.50 and 4,147,284 is: 8,537,680.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,594.50 : 4,147,284 = 4,147,284 : x
  2. Step 2: Convert to fraction form
    2,014,594.50/4,147,284 = 4,147,284/x
  3. Step 3: Cross multiply
    2,014,594.50x = 4,147,284 × 4,147,284
  4. Step 4: Simplify right side
    2,014,594.50x = 17,199,964,576,656
  5. Step 5: Solve for x
    x = 17,199,964,576,656/2,014,594.50
  6. Step 6: Final answer
    x = 8,537,680.70

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.