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Finding the Third Proportional to 612,458 and 894,495

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Solution

The third proportional to 612,458 and 894,495 is: 1,306,410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,458 : 894,495 = 894,495 : x
  2. Step 2: Convert to fraction form
    612,458/894,495 = 894,495/x
  3. Step 3: Cross multiply
    612,458x = 894,495 × 894,495
  4. Step 4: Simplify right side
    612,458x = 800,121,305,025
  5. Step 5: Solve for x
    x = 800,121,305,025/612,458
  6. Step 6: Final answer
    x = 1,306,410.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.