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Finding the Third Proportional to 774,486 and 1,686,765

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Solution

The third proportional to 774,486 and 1,686,765 is: 3,673,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,486 : 1,686,765 = 1,686,765 : x
  2. Step 2: Convert to fraction form
    774,486/1,686,765 = 1,686,765/x
  3. Step 3: Cross multiply
    774,486x = 1,686,765 × 1,686,765
  4. Step 4: Simplify right side
    774,486x = 2,845,176,165,225
  5. Step 5: Solve for x
    x = 2,845,176,165,225/774,486
  6. Step 6: Final answer
    x = 3,673,631.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.