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Finding the Third Proportional to 618,465 and 882,049.50

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Solution

The third proportional to 618,465 and 882,049.50 is: 1,257,971.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,465 : 882,049.50 = 882,049.50 : x
  2. Step 2: Convert to fraction form
    618,465/882,049.50 = 882,049.50/x
  3. Step 3: Cross multiply
    618,465x = 882,049.50 × 882,049.50
  4. Step 4: Simplify right side
    618,465x = 778,011,320,450.25
  5. Step 5: Solve for x
    x = 778,011,320,450.25/618,465
  6. Step 6: Final answer
    x = 1,257,971.46

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.