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Finding the Third Proportional to 1,828,032.50 and 3,961,152

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Solution

The third proportional to 1,828,032.50 and 3,961,152 is: 8,583,395.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828,032.50 : 3,961,152 = 3,961,152 : x
  2. Step 2: Convert to fraction form
    1,828,032.50/3,961,152 = 3,961,152/x
  3. Step 3: Cross multiply
    1,828,032.50x = 3,961,152 × 3,961,152
  4. Step 4: Simplify right side
    1,828,032.50x = 15,690,725,167,104
  5. Step 5: Solve for x
    x = 15,690,725,167,104/1,828,032.50
  6. Step 6: Final answer
    x = 8,583,395.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.