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Finding the Third Proportional to 2,842,709.50 and 4,641,396

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Solution

The third proportional to 2,842,709.50 and 4,641,396 is: 7,578,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842,709.50 : 4,641,396 = 4,641,396 : x
  2. Step 2: Convert to fraction form
    2,842,709.50/4,641,396 = 4,641,396/x
  3. Step 3: Cross multiply
    2,842,709.50x = 4,641,396 × 4,641,396
  4. Step 4: Simplify right side
    2,842,709.50x = 21,542,556,828,816
  5. Step 5: Solve for x
    x = 21,542,556,828,816/2,842,709.50
  6. Step 6: Final answer
    x = 7,578,177.38

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.