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Finding the Third Proportional to 556,547 and 1,203,846

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Solution

The third proportional to 556,547 and 1,203,846 is: 2,603,994.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,547 : 1,203,846 = 1,203,846 : x
  2. Step 2: Convert to fraction form
    556,547/1,203,846 = 1,203,846/x
  3. Step 3: Cross multiply
    556,547x = 1,203,846 × 1,203,846
  4. Step 4: Simplify right side
    556,547x = 1,449,245,191,716
  5. Step 5: Solve for x
    x = 1,449,245,191,716/556,547
  6. Step 6: Final answer
    x = 2,603,994.26

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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.