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Finding the Third Proportional to 511,360 and 1,116,032

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Solution

The third proportional to 511,360 and 1,116,032 is: 2,435,715.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,360 : 1,116,032 = 1,116,032 : x
  2. Step 2: Convert to fraction form
    511,360/1,116,032 = 1,116,032/x
  3. Step 3: Cross multiply
    511,360x = 1,116,032 × 1,116,032
  4. Step 4: Simplify right side
    511,360x = 1,245,527,425,024
  5. Step 5: Solve for x
    x = 1,245,527,425,024/511,360
  6. Step 6: Final answer
    x = 2,435,715.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.