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Finding the Third Proportional to 909,459 and 1,980,380

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Solution

The third proportional to 909,459 and 1,980,380 is: 4,312,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,459 : 1,980,380 = 1,980,380 : x
  2. Step 2: Convert to fraction form
    909,459/1,980,380 = 1,980,380/x
  3. Step 3: Cross multiply
    909,459x = 1,980,380 × 1,980,380
  4. Step 4: Simplify right side
    909,459x = 3,921,904,944,400
  5. Step 5: Solve for x
    x = 3,921,904,944,400/909,459
  6. Step 6: Final answer
    x = 4,312,349.37

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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.