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Finding the Third Proportional to 673,540 and 1,430,120

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Solution

The third proportional to 673,540 and 1,430,120 is: 3,036,557.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,540 : 1,430,120 = 1,430,120 : x
  2. Step 2: Convert to fraction form
    673,540/1,430,120 = 1,430,120/x
  3. Step 3: Cross multiply
    673,540x = 1,430,120 × 1,430,120
  4. Step 4: Simplify right side
    673,540x = 2,045,243,214,400
  5. Step 5: Solve for x
    x = 2,045,243,214,400/673,540
  6. Step 6: Final answer
    x = 3,036,557.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.