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Finding the Third Proportional to 774,684 and 1,698,894

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Solution

The third proportional to 774,684 and 1,698,894 is: 3,725,700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,684 : 1,698,894 = 1,698,894 : x
  2. Step 2: Convert to fraction form
    774,684/1,698,894 = 1,698,894/x
  3. Step 3: Cross multiply
    774,684x = 1,698,894 × 1,698,894
  4. Step 4: Simplify right side
    774,684x = 2,886,240,823,236
  5. Step 5: Solve for x
    x = 2,886,240,823,236/774,684
  6. Step 6: Final answer
    x = 3,725,700.83

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