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Finding the Third Proportional to 1,583,661.94 and 3,457,609.75

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Solution

The third proportional to 1,583,661.94 and 3,457,609.75 is: 7,549,000.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,661.94 : 3,457,609.75 = 3,457,609.75 : x
  2. Step 2: Convert to fraction form
    1,583,661.94/3,457,609.75 = 3,457,609.75/x
  3. Step 3: Cross multiply
    1,583,661.94x = 3,457,609.75 × 3,457,609.75
  4. Step 4: Simplify right side
    1,583,661.94x = 11,955,065,183,295.06
  5. Step 5: Solve for x
    x = 11,955,065,183,295.06/1,583,661.94
  6. Step 6: Final answer
    x = 7,549,000.77

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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.