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Finding the Third Proportional to 676,068 and 1,370,796

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Solution

The third proportional to 676,068 and 1,370,796 is: 2,779,427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,068 : 1,370,796 = 1,370,796 : x
  2. Step 2: Convert to fraction form
    676,068/1,370,796 = 1,370,796/x
  3. Step 3: Cross multiply
    676,068x = 1,370,796 × 1,370,796
  4. Step 4: Simplify right side
    676,068x = 1,879,081,673,616
  5. Step 5: Solve for x
    x = 1,879,081,673,616/676,068
  6. Step 6: Final answer
    x = 2,779,427.03

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.