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Finding the Third Proportional to 673,416 and 1,453,659

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Solution

The third proportional to 673,416 and 1,453,659 is: 3,137,918.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,416 : 1,453,659 = 1,453,659 : x
  2. Step 2: Convert to fraction form
    673,416/1,453,659 = 1,453,659/x
  3. Step 3: Cross multiply
    673,416x = 1,453,659 × 1,453,659
  4. Step 4: Simplify right side
    673,416x = 2,113,124,488,281
  5. Step 5: Solve for x
    x = 2,113,124,488,281/673,416
  6. Step 6: Final answer
    x = 3,137,918.45

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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.