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Finding the Third Proportional to 1,645,089.75 and 3,550,285.69

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Solution

The third proportional to 1,645,089.75 and 3,550,285.69 is: 7,661,909.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645,089.75 : 3,550,285.69 = 3,550,285.69 : x
  2. Step 2: Convert to fraction form
    1,645,089.75/3,550,285.69 = 3,550,285.69/x
  3. Step 3: Cross multiply
    1,645,089.75x = 3,550,285.69 × 3,550,285.69
  4. Step 4: Simplify right side
    1,645,089.75x = 12,604,528,462,867.35
  5. Step 5: Solve for x
    x = 12,604,528,462,867.35/1,645,089.75
  6. Step 6: Final answer
    x = 7,661,909.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.