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Finding the Third Proportional to 673,362 and 1,473,408

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Solution

The third proportional to 673,362 and 1,473,408 is: 3,224,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,362 : 1,473,408 = 1,473,408 : x
  2. Step 2: Convert to fraction form
    673,362/1,473,408 = 1,473,408/x
  3. Step 3: Cross multiply
    673,362x = 1,473,408 × 1,473,408
  4. Step 4: Simplify right side
    673,362x = 2,170,931,134,464
  5. Step 5: Solve for x
    x = 2,170,931,134,464/673,362
  6. Step 6: Final answer
    x = 3,224,017.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.