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Finding the Third Proportional to 585,432 and 1,216,800

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Solution

The third proportional to 585,432 and 1,216,800 is: 2,529,076.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,432 : 1,216,800 = 1,216,800 : x
  2. Step 2: Convert to fraction form
    585,432/1,216,800 = 1,216,800/x
  3. Step 3: Cross multiply
    585,432x = 1,216,800 × 1,216,800
  4. Step 4: Simplify right side
    585,432x = 1,480,602,240,000
  5. Step 5: Solve for x
    x = 1,480,602,240,000/585,432
  6. Step 6: Final answer
    x = 2,529,076.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.