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Finding the Third Proportional to 415,298 and 909,220

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Solution

The third proportional to 415,298 and 909,220 is: 1,990,573.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,298 : 909,220 = 909,220 : x
  2. Step 2: Convert to fraction form
    415,298/909,220 = 909,220/x
  3. Step 3: Cross multiply
    415,298x = 909,220 × 909,220
  4. Step 4: Simplify right side
    415,298x = 826,681,008,400
  5. Step 5: Solve for x
    x = 826,681,008,400/415,298
  6. Step 6: Final answer
    x = 1,990,573.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.