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Finding the Third Proportional to 750,046.50 and 1,617,369.19

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Solution

The third proportional to 750,046.50 and 1,617,369.19 is: 3,487,627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,046.50 : 1,617,369.19 = 1,617,369.19 : x
  2. Step 2: Convert to fraction form
    750,046.50/1,617,369.19 = 1,617,369.19/x
  3. Step 3: Cross multiply
    750,046.50x = 1,617,369.19 × 1,617,369.19
  4. Step 4: Simplify right side
    750,046.50x = 2,615,883,088,674.41
  5. Step 5: Solve for x
    x = 2,615,883,088,674.41/750,046.50
  6. Step 6: Final answer
    x = 3,487,627.89

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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.