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Finding the Third Proportional to 687,130 and 1,496,247

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Solution

The third proportional to 687,130 and 1,496,247 is: 3,258,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,130 : 1,496,247 = 1,496,247 : x
  2. Step 2: Convert to fraction form
    687,130/1,496,247 = 1,496,247/x
  3. Step 3: Cross multiply
    687,130x = 1,496,247 × 1,496,247
  4. Step 4: Simplify right side
    687,130x = 2,238,755,085,009
  5. Step 5: Solve for x
    x = 2,238,755,085,009/687,130
  6. Step 6: Final answer
    x = 3,258,124.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.