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Finding the Third Proportional to 852,708 and 1,834,448

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Solution

The third proportional to 852,708 and 1,834,448 is: 3,946,485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,708 : 1,834,448 = 1,834,448 : x
  2. Step 2: Convert to fraction form
    852,708/1,834,448 = 1,834,448/x
  3. Step 3: Cross multiply
    852,708x = 1,834,448 × 1,834,448
  4. Step 4: Simplify right side
    852,708x = 3,365,199,464,704
  5. Step 5: Solve for x
    x = 3,365,199,464,704/852,708
  6. Step 6: Final answer
    x = 3,946,485.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.