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Finding the Third Proportional to 424,062 and 906,957

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Solution

The third proportional to 424,062 and 906,957 is: 1,939,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,062 : 906,957 = 906,957 : x
  2. Step 2: Convert to fraction form
    424,062/906,957 = 906,957/x
  3. Step 3: Cross multiply
    424,062x = 906,957 × 906,957
  4. Step 4: Simplify right side
    424,062x = 822,570,999,849
  5. Step 5: Solve for x
    x = 822,570,999,849/424,062
  6. Step 6: Final answer
    x = 1,939,742.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.