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Finding the Third Proportional to 673,508 and 1,017,260

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Solution

The third proportional to 673,508 and 1,017,260 is: 1,536,459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,508 : 1,017,260 = 1,017,260 : x
  2. Step 2: Convert to fraction form
    673,508/1,017,260 = 1,017,260/x
  3. Step 3: Cross multiply
    673,508x = 1,017,260 × 1,017,260
  4. Step 4: Simplify right side
    673,508x = 1,034,817,907,600
  5. Step 5: Solve for x
    x = 1,034,817,907,600/673,508
  6. Step 6: Final answer
    x = 1,536,459.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.