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Finding the Third Proportional to 748,059.75 and 1,549,329.75

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Solution

The third proportional to 748,059.75 and 1,549,329.75 is: 3,208,864.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,059.75 : 1,549,329.75 = 1,549,329.75 : x
  2. Step 2: Convert to fraction form
    748,059.75/1,549,329.75 = 1,549,329.75/x
  3. Step 3: Cross multiply
    748,059.75x = 1,549,329.75 × 1,549,329.75
  4. Step 4: Simplify right side
    748,059.75x = 2,400,422,674,235.06
  5. Step 5: Solve for x
    x = 2,400,422,674,235.06/748,059.75
  6. Step 6: Final answer
    x = 3,208,864.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.