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Finding the Third Proportional to 523,215 and 1,130,058

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Solution

The third proportional to 523,215 and 1,130,058 is: 2,440,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,215 : 1,130,058 = 1,130,058 : x
  2. Step 2: Convert to fraction form
    523,215/1,130,058 = 1,130,058/x
  3. Step 3: Cross multiply
    523,215x = 1,130,058 × 1,130,058
  4. Step 4: Simplify right side
    523,215x = 1,277,031,083,364
  5. Step 5: Solve for x
    x = 1,277,031,083,364/523,215
  6. Step 6: Final answer
    x = 2,440,738.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.