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Finding the Third Proportional to 790,056 and 1,213,578

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Solution

The third proportional to 790,056 and 1,213,578 is: 1,864,135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,056 : 1,213,578 = 1,213,578 : x
  2. Step 2: Convert to fraction form
    790,056/1,213,578 = 1,213,578/x
  3. Step 3: Cross multiply
    790,056x = 1,213,578 × 1,213,578
  4. Step 4: Simplify right side
    790,056x = 1,472,771,562,084
  5. Step 5: Solve for x
    x = 1,472,771,562,084/790,056
  6. Step 6: Final answer
    x = 1,864,135.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.