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Finding the Third Proportional to 865,884.94 and 1,358,307.56

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Solution

The third proportional to 865,884.94 and 1,358,307.56 is: 2,130,767.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,884.94 : 1,358,307.56 = 1,358,307.56 : x
  2. Step 2: Convert to fraction form
    865,884.94/1,358,307.56 = 1,358,307.56/x
  3. Step 3: Cross multiply
    865,884.94x = 1,358,307.56 × 1,358,307.56
  4. Step 4: Simplify right side
    865,884.94x = 1,844,999,434,344.69
  5. Step 5: Solve for x
    x = 1,844,999,434,344.69/865,884.94
  6. Step 6: Final answer
    x = 2,130,767.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.