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Finding the Third Proportional to 774,674 and 1,831,646

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Solution

The third proportional to 774,674 and 1,831,646 is: 4,330,759.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,674 : 1,831,646 = 1,831,646 : x
  2. Step 2: Convert to fraction form
    774,674/1,831,646 = 1,831,646/x
  3. Step 3: Cross multiply
    774,674x = 1,831,646 × 1,831,646
  4. Step 4: Simplify right side
    774,674x = 3,354,927,069,316
  5. Step 5: Solve for x
    x = 3,354,927,069,316/774,674
  6. Step 6: Final answer
    x = 4,330,759.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.