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Finding the Third Proportional to 673,458 and 1,464,750

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Solution

The third proportional to 673,458 and 1,464,750 is: 3,185,785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,458 : 1,464,750 = 1,464,750 : x
  2. Step 2: Convert to fraction form
    673,458/1,464,750 = 1,464,750/x
  3. Step 3: Cross multiply
    673,458x = 1,464,750 × 1,464,750
  4. Step 4: Simplify right side
    673,458x = 2,145,492,562,500
  5. Step 5: Solve for x
    x = 2,145,492,562,500/673,458
  6. Step 6: Final answer
    x = 3,185,785.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.