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Finding the Third Proportional to 846,576 and 1,278,504

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Solution

The third proportional to 846,576 and 1,278,504 is: 1,930,804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,576 : 1,278,504 = 1,278,504 : x
  2. Step 2: Convert to fraction form
    846,576/1,278,504 = 1,278,504/x
  3. Step 3: Cross multiply
    846,576x = 1,278,504 × 1,278,504
  4. Step 4: Simplify right side
    846,576x = 1,634,572,478,016
  5. Step 5: Solve for x
    x = 1,634,572,478,016/846,576
  6. Step 6: Final answer
    x = 1,930,804.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.