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Finding the Third Proportional to 1,686,359.25 and 3,680,903.25

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Solution

The third proportional to 1,686,359.25 and 3,680,903.25 is: 8,034,497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686,359.25 : 3,680,903.25 = 3,680,903.25 : x
  2. Step 2: Convert to fraction form
    1,686,359.25/3,680,903.25 = 3,680,903.25/x
  3. Step 3: Cross multiply
    1,686,359.25x = 3,680,903.25 × 3,680,903.25
  4. Step 4: Simplify right side
    1,686,359.25x = 13,549,048,735,860.56
  5. Step 5: Solve for x
    x = 13,549,048,735,860.56/1,686,359.25
  6. Step 6: Final answer
    x = 8,034,497.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.