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Finding the Third Proportional to 790,064 and 1,213,584

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Solution

The third proportional to 790,064 and 1,213,584 is: 1,864,135.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,064 : 1,213,584 = 1,213,584 : x
  2. Step 2: Convert to fraction form
    790,064/1,213,584 = 1,213,584/x
  3. Step 3: Cross multiply
    790,064x = 1,213,584 × 1,213,584
  4. Step 4: Simplify right side
    790,064x = 1,472,786,125,056
  5. Step 5: Solve for x
    x = 1,472,786,125,056/790,064
  6. Step 6: Final answer
    x = 1,864,135.22

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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.