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Finding the Third Proportional to 465,896 and 1,019,030

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Solution

The third proportional to 465,896 and 1,019,030 is: 2,228,871.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,896 : 1,019,030 = 1,019,030 : x
  2. Step 2: Convert to fraction form
    465,896/1,019,030 = 1,019,030/x
  3. Step 3: Cross multiply
    465,896x = 1,019,030 × 1,019,030
  4. Step 4: Simplify right side
    465,896x = 1,038,422,140,900
  5. Step 5: Solve for x
    x = 1,038,422,140,900/465,896
  6. Step 6: Final answer
    x = 2,228,871.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.