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Finding the Third Proportional to 676,054 and 1,039,235

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Solution

The third proportional to 676,054 and 1,039,235 is: 1,597,519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,054 : 1,039,235 = 1,039,235 : x
  2. Step 2: Convert to fraction form
    676,054/1,039,235 = 1,039,235/x
  3. Step 3: Cross multiply
    676,054x = 1,039,235 × 1,039,235
  4. Step 4: Simplify right side
    676,054x = 1,080,009,385,225
  5. Step 5: Solve for x
    x = 1,080,009,385,225/676,054
  6. Step 6: Final answer
    x = 1,597,519.41

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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.