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Finding the Third Proportional to 872,316 and 1,850,161.50

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Solution

The third proportional to 872,316 and 1,850,161.50 is: 3,924,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,316 : 1,850,161.50 = 1,850,161.50 : x
  2. Step 2: Convert to fraction form
    872,316/1,850,161.50 = 1,850,161.50/x
  3. Step 3: Cross multiply
    872,316x = 1,850,161.50 × 1,850,161.50
  4. Step 4: Simplify right side
    872,316x = 3,423,097,576,082.25
  5. Step 5: Solve for x
    x = 3,423,097,576,082.25/872,316
  6. Step 6: Final answer
    x = 3,924,148.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.