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Finding the Third Proportional to 673,421 and 1,453,669

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Solution

The third proportional to 673,421 and 1,453,669 is: 3,137,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,421 : 1,453,669 = 1,453,669 : x
  2. Step 2: Convert to fraction form
    673,421/1,453,669 = 1,453,669/x
  3. Step 3: Cross multiply
    673,421x = 1,453,669 × 1,453,669
  4. Step 4: Simplify right side
    673,421x = 2,113,153,561,561
  5. Step 5: Solve for x
    x = 2,113,153,561,561/673,421
  6. Step 6: Final answer
    x = 3,137,938.32

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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.