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Finding the Third Proportional to 673,248 and 1,460,942

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Solution

The third proportional to 673,248 and 1,460,942 is: 3,170,230.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,248 : 1,460,942 = 1,460,942 : x
  2. Step 2: Convert to fraction form
    673,248/1,460,942 = 1,460,942/x
  3. Step 3: Cross multiply
    673,248x = 1,460,942 × 1,460,942
  4. Step 4: Simplify right side
    673,248x = 2,134,351,527,364
  5. Step 5: Solve for x
    x = 2,134,351,527,364/673,248
  6. Step 6: Final answer
    x = 3,170,230.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.