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Finding the Third Proportional to 673,425 and 1,453,675.50

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Solution

The third proportional to 673,425 and 1,453,675.50 is: 3,137,947.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,425 : 1,453,675.50 = 1,453,675.50 : x
  2. Step 2: Convert to fraction form
    673,425/1,453,675.50 = 1,453,675.50/x
  3. Step 3: Cross multiply
    673,425x = 1,453,675.50 × 1,453,675.50
  4. Step 4: Simplify right side
    673,425x = 2,113,172,459,300.25
  5. Step 5: Solve for x
    x = 2,113,172,459,300.25/673,425
  6. Step 6: Final answer
    x = 3,137,947.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.