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Finding the Third Proportional to 969,414 and 1,480,365

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Solution

The third proportional to 969,414 and 1,480,365 is: 2,260,623.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,414 : 1,480,365 = 1,480,365 : x
  2. Step 2: Convert to fraction form
    969,414/1,480,365 = 1,480,365/x
  3. Step 3: Cross multiply
    969,414x = 1,480,365 × 1,480,365
  4. Step 4: Simplify right side
    969,414x = 2,191,480,533,225
  5. Step 5: Solve for x
    x = 2,191,480,533,225/969,414
  6. Step 6: Final answer
    x = 2,260,623.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.