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Finding the Third Proportional to 849,820 and 1,304,442

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Solution

The third proportional to 849,820 and 1,304,442 is: 2,002,269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,820 : 1,304,442 = 1,304,442 : x
  2. Step 2: Convert to fraction form
    849,820/1,304,442 = 1,304,442/x
  3. Step 3: Cross multiply
    849,820x = 1,304,442 × 1,304,442
  4. Step 4: Simplify right side
    849,820x = 1,701,568,931,364
  5. Step 5: Solve for x
    x = 1,701,568,931,364/849,820
  6. Step 6: Final answer
    x = 2,002,269.81

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.