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Finding the Third Proportional to 465,201 and 986,862

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Solution

The third proportional to 465,201 and 986,862 is: 2,093,496.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,201 : 986,862 = 986,862 : x
  2. Step 2: Convert to fraction form
    465,201/986,862 = 986,862/x
  3. Step 3: Cross multiply
    465,201x = 986,862 × 986,862
  4. Step 4: Simplify right side
    465,201x = 973,896,607,044
  5. Step 5: Solve for x
    x = 973,896,607,044/465,201
  6. Step 6: Final answer
    x = 2,093,496.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.