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Finding the Third Proportional to 852,076 and 1,837,013

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Solution

The third proportional to 852,076 and 1,837,013 is: 3,960,464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,076 : 1,837,013 = 1,837,013 : x
  2. Step 2: Convert to fraction form
    852,076/1,837,013 = 1,837,013/x
  3. Step 3: Cross multiply
    852,076x = 1,837,013 × 1,837,013
  4. Step 4: Simplify right side
    852,076x = 3,374,616,762,169
  5. Step 5: Solve for x
    x = 3,374,616,762,169/852,076
  6. Step 6: Final answer
    x = 3,960,464.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.