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Finding the Third Proportional to 507,053 and 1,086,088

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Solution

The third proportional to 507,053 and 1,086,088 is: 2,326,358.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,053 : 1,086,088 = 1,086,088 : x
  2. Step 2: Convert to fraction form
    507,053/1,086,088 = 1,086,088/x
  3. Step 3: Cross multiply
    507,053x = 1,086,088 × 1,086,088
  4. Step 4: Simplify right side
    507,053x = 1,179,587,143,744
  5. Step 5: Solve for x
    x = 1,179,587,143,744/507,053
  6. Step 6: Final answer
    x = 2,326,358.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.