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Finding the Third Proportional to 507,358 and 1,093,206

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Solution

The third proportional to 507,358 and 1,093,206 is: 2,355,534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,358 : 1,093,206 = 1,093,206 : x
  2. Step 2: Convert to fraction form
    507,358/1,093,206 = 1,093,206/x
  3. Step 3: Cross multiply
    507,358x = 1,093,206 × 1,093,206
  4. Step 4: Simplify right side
    507,358x = 1,195,099,358,436
  5. Step 5: Solve for x
    x = 1,195,099,358,436/507,358
  6. Step 6: Final answer
    x = 2,355,534.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.