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Finding the Third Proportional to 465,113 and 1,004,584

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Solution

The third proportional to 465,113 and 1,004,584 is: 2,169,771.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,113 : 1,004,584 = 1,004,584 : x
  2. Step 2: Convert to fraction form
    465,113/1,004,584 = 1,004,584/x
  3. Step 3: Cross multiply
    465,113x = 1,004,584 × 1,004,584
  4. Step 4: Simplify right side
    465,113x = 1,009,189,013,056
  5. Step 5: Solve for x
    x = 1,009,189,013,056/465,113
  6. Step 6: Final answer
    x = 2,169,771.67

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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.