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Finding the Third Proportional to 1,221,045.75 and 1,794,983.63

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Solution

The third proportional to 1,221,045.75 and 1,794,983.63 is: 2,638,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221,045.75 : 1,794,983.63 = 1,794,983.63 : x
  2. Step 2: Convert to fraction form
    1,221,045.75/1,794,983.63 = 1,794,983.63/x
  3. Step 3: Cross multiply
    1,221,045.75x = 1,794,983.63 × 1,794,983.63
  4. Step 4: Simplify right side
    1,221,045.75x = 3,221,966,214,018.14
  5. Step 5: Solve for x
    x = 3,221,966,214,018.14/1,221,045.75
  6. Step 6: Final answer
    x = 2,638,694.10

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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.