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Finding the Third Proportional to 832,014 and 1,796,746

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Solution

The third proportional to 832,014 and 1,796,746 is: 3,880,098.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,014 : 1,796,746 = 1,796,746 : x
  2. Step 2: Convert to fraction form
    832,014/1,796,746 = 1,796,746/x
  3. Step 3: Cross multiply
    832,014x = 1,796,746 × 1,796,746
  4. Step 4: Simplify right side
    832,014x = 3,228,296,188,516
  5. Step 5: Solve for x
    x = 3,228,296,188,516/832,014
  6. Step 6: Final answer
    x = 3,880,098.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.