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Finding the Third Proportional to 1,221,184 and 1,796,440

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Solution

The third proportional to 1,221,184 and 1,796,440 is: 2,642,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221,184 : 1,796,440 = 1,796,440 : x
  2. Step 2: Convert to fraction form
    1,221,184/1,796,440 = 1,796,440/x
  3. Step 3: Cross multiply
    1,221,184x = 1,796,440 × 1,796,440
  4. Step 4: Simplify right side
    1,221,184x = 3,227,196,673,600
  5. Step 5: Solve for x
    x = 3,227,196,673,600/1,221,184
  6. Step 6: Final answer
    x = 2,642,678.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.