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Finding the Third Proportional to 864,546.75 and 1,878,592.50

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Solution

The third proportional to 864,546.75 and 1,878,592.50 is: 4,082,034.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,546.75 : 1,878,592.50 = 1,878,592.50 : x
  2. Step 2: Convert to fraction form
    864,546.75/1,878,592.50 = 1,878,592.50/x
  3. Step 3: Cross multiply
    864,546.75x = 1,878,592.50 × 1,878,592.50
  4. Step 4: Simplify right side
    864,546.75x = 3,529,109,781,056.25
  5. Step 5: Solve for x
    x = 3,529,109,781,056.25/864,546.75
  6. Step 6: Final answer
    x = 4,082,034.64

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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.