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Finding the Third Proportional to 472,293 and 1,019,205

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Solution

The third proportional to 472,293 and 1,019,205 is: 2,199,437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,293 : 1,019,205 = 1,019,205 : x
  2. Step 2: Convert to fraction form
    472,293/1,019,205 = 1,019,205/x
  3. Step 3: Cross multiply
    472,293x = 1,019,205 × 1,019,205
  4. Step 4: Simplify right side
    472,293x = 1,038,778,832,025
  5. Step 5: Solve for x
    x = 1,038,778,832,025/472,293
  6. Step 6: Final answer
    x = 2,199,437.28

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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.