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Finding the Third Proportional to 872,445.75 and 1,824,352.50

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Solution

The third proportional to 872,445.75 and 1,824,352.50 is: 3,814,864.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,445.75 : 1,824,352.50 = 1,824,352.50 : x
  2. Step 2: Convert to fraction form
    872,445.75/1,824,352.50 = 1,824,352.50/x
  3. Step 3: Cross multiply
    872,445.75x = 1,824,352.50 × 1,824,352.50
  4. Step 4: Simplify right side
    872,445.75x = 3,328,262,044,256.25
  5. Step 5: Solve for x
    x = 3,328,262,044,256.25/872,445.75
  6. Step 6: Final answer
    x = 3,814,864.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.