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Finding the Third Proportional to 683,160 and 1,091,364

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Solution

The third proportional to 683,160 and 1,091,364 is: 1,743,479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,160 : 1,091,364 = 1,091,364 : x
  2. Step 2: Convert to fraction form
    683,160/1,091,364 = 1,091,364/x
  3. Step 3: Cross multiply
    683,160x = 1,091,364 × 1,091,364
  4. Step 4: Simplify right side
    683,160x = 1,191,075,380,496
  5. Step 5: Solve for x
    x = 1,191,075,380,496/683,160
  6. Step 6: Final answer
    x = 1,743,479.39

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.