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Finding the Third Proportional to 609,054 and 893,673

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Solution

The third proportional to 609,054 and 893,673 is: 1,311,298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,054 : 893,673 = 893,673 : x
  2. Step 2: Convert to fraction form
    609,054/893,673 = 893,673/x
  3. Step 3: Cross multiply
    609,054x = 893,673 × 893,673
  4. Step 4: Simplify right side
    609,054x = 798,651,430,929
  5. Step 5: Solve for x
    x = 798,651,430,929/609,054
  6. Step 6: Final answer
    x = 1,311,298.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.