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Finding the Third Proportional to 562,405 and 1,210,158

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Solution

The third proportional to 562,405 and 1,210,158 is: 2,603,964.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,405 : 1,210,158 = 1,210,158 : x
  2. Step 2: Convert to fraction form
    562,405/1,210,158 = 1,210,158/x
  3. Step 3: Cross multiply
    562,405x = 1,210,158 × 1,210,158
  4. Step 4: Simplify right side
    562,405x = 1,464,482,384,964
  5. Step 5: Solve for x
    x = 1,464,482,384,964/562,405
  6. Step 6: Final answer
    x = 2,603,964.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.