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Finding the Third Proportional to 578,454 and 889,674

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Solution

The third proportional to 578,454 and 889,674 is: 1,368,336.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,454 : 889,674 = 889,674 : x
  2. Step 2: Convert to fraction form
    578,454/889,674 = 889,674/x
  3. Step 3: Cross multiply
    578,454x = 889,674 × 889,674
  4. Step 4: Simplify right side
    578,454x = 791,519,826,276
  5. Step 5: Solve for x
    x = 791,519,826,276/578,454
  6. Step 6: Final answer
    x = 1,368,336.68

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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.