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Finding the Third Proportional to 727,483 and 1,580,894

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Solution

The third proportional to 727,483 and 1,580,894 is: 3,435,442.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,483 : 1,580,894 = 1,580,894 : x
  2. Step 2: Convert to fraction form
    727,483/1,580,894 = 1,580,894/x
  3. Step 3: Cross multiply
    727,483x = 1,580,894 × 1,580,894
  4. Step 4: Simplify right side
    727,483x = 2,499,225,839,236
  5. Step 5: Solve for x
    x = 2,499,225,839,236/727,483
  6. Step 6: Final answer
    x = 3,435,442.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.