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Finding the Third Proportional to 467,536 and 1,019,312

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Solution

The third proportional to 467,536 and 1,019,312 is: 2,222,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,536 : 1,019,312 = 1,019,312 : x
  2. Step 2: Convert to fraction form
    467,536/1,019,312 = 1,019,312/x
  3. Step 3: Cross multiply
    467,536x = 1,019,312 × 1,019,312
  4. Step 4: Simplify right side
    467,536x = 1,038,996,953,344
  5. Step 5: Solve for x
    x = 1,038,996,953,344/467,536
  6. Step 6: Final answer
    x = 2,222,282.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.