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Finding the Third Proportional to 465,457.50 and 1,013,859

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Solution

The third proportional to 465,457.50 and 1,013,859 is: 2,208,386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,457.50 : 1,013,859 = 1,013,859 : x
  2. Step 2: Convert to fraction form
    465,457.50/1,013,859 = 1,013,859/x
  3. Step 3: Cross multiply
    465,457.50x = 1,013,859 × 1,013,859
  4. Step 4: Simplify right side
    465,457.50x = 1,027,910,071,881
  5. Step 5: Solve for x
    x = 1,027,910,071,881/465,457.50
  6. Step 6: Final answer
    x = 2,208,386.53

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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.