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Finding the Third Proportional to 673,371 and 1,477,602

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Solution

The third proportional to 673,371 and 1,477,602 is: 3,242,354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,371 : 1,477,602 = 1,477,602 : x
  2. Step 2: Convert to fraction form
    673,371/1,477,602 = 1,477,602/x
  3. Step 3: Cross multiply
    673,371x = 1,477,602 × 1,477,602
  4. Step 4: Simplify right side
    673,371x = 2,183,307,670,404
  5. Step 5: Solve for x
    x = 2,183,307,670,404/673,371
  6. Step 6: Final answer
    x = 3,242,354.76

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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.