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Finding the Third Proportional to 778,218 and 1,704,063

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Solution

The third proportional to 778,218 and 1,704,063 is: 3,731,384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,218 : 1,704,063 = 1,704,063 : x
  2. Step 2: Convert to fraction form
    778,218/1,704,063 = 1,704,063/x
  3. Step 3: Cross multiply
    778,218x = 1,704,063 × 1,704,063
  4. Step 4: Simplify right side
    778,218x = 2,903,830,707,969
  5. Step 5: Solve for x
    x = 2,903,830,707,969/778,218
  6. Step 6: Final answer
    x = 3,731,384.66

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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.