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Finding the Third Proportional to 511,116 and 1,120,646

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Solution

The third proportional to 511,116 and 1,120,646 is: 2,457,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,116 : 1,120,646 = 1,120,646 : x
  2. Step 2: Convert to fraction form
    511,116/1,120,646 = 1,120,646/x
  3. Step 3: Cross multiply
    511,116x = 1,120,646 × 1,120,646
  4. Step 4: Simplify right side
    511,116x = 1,255,847,457,316
  5. Step 5: Solve for x
    x = 1,255,847,457,316/511,116
  6. Step 6: Final answer
    x = 2,457,069.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.