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Finding the Third Proportional to 778,670 and 1,689,520

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Solution

The third proportional to 778,670 and 1,689,520 is: 3,665,837.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,670 : 1,689,520 = 1,689,520 : x
  2. Step 2: Convert to fraction form
    778,670/1,689,520 = 1,689,520/x
  3. Step 3: Cross multiply
    778,670x = 1,689,520 × 1,689,520
  4. Step 4: Simplify right side
    778,670x = 2,854,477,830,400
  5. Step 5: Solve for x
    x = 2,854,477,830,400/778,670
  6. Step 6: Final answer
    x = 3,665,837.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.