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Finding the Third Proportional to 687,085.50 and 1,496,142

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Solution

The third proportional to 687,085.50 and 1,496,142 is: 3,257,878.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,085.50 : 1,496,142 = 1,496,142 : x
  2. Step 2: Convert to fraction form
    687,085.50/1,496,142 = 1,496,142/x
  3. Step 3: Cross multiply
    687,085.50x = 1,496,142 × 1,496,142
  4. Step 4: Simplify right side
    687,085.50x = 2,238,440,884,164
  5. Step 5: Solve for x
    x = 2,238,440,884,164/687,085.50
  6. Step 6: Final answer
    x = 3,257,878.22

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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.