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Finding the Third Proportional to 550,493 and 1,116,547

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Solution

The third proportional to 550,493 and 1,116,547 is: 2,264,655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,493 : 1,116,547 = 1,116,547 : x
  2. Step 2: Convert to fraction form
    550,493/1,116,547 = 1,116,547/x
  3. Step 3: Cross multiply
    550,493x = 1,116,547 × 1,116,547
  4. Step 4: Simplify right side
    550,493x = 1,246,677,203,209
  5. Step 5: Solve for x
    x = 1,246,677,203,209/550,493
  6. Step 6: Final answer
    x = 2,264,655.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.