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Finding the Third Proportional to 662,840 and 1,036,910

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Solution

The third proportional to 662,840 and 1,036,910 is: 1,622,084.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,840 : 1,036,910 = 1,036,910 : x
  2. Step 2: Convert to fraction form
    662,840/1,036,910 = 1,036,910/x
  3. Step 3: Cross multiply
    662,840x = 1,036,910 × 1,036,910
  4. Step 4: Simplify right side
    662,840x = 1,075,182,348,100
  5. Step 5: Solve for x
    x = 1,075,182,348,100/662,840
  6. Step 6: Final answer
    x = 1,622,084.29

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.