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Finding the Third Proportional to 463,323 and 1,015,220

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Solution

The third proportional to 463,323 and 1,015,220 is: 2,224,520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,323 : 1,015,220 = 1,015,220 : x
  2. Step 2: Convert to fraction form
    463,323/1,015,220 = 1,015,220/x
  3. Step 3: Cross multiply
    463,323x = 1,015,220 × 1,015,220
  4. Step 4: Simplify right side
    463,323x = 1,030,671,648,400
  5. Step 5: Solve for x
    x = 1,030,671,648,400/463,323
  6. Step 6: Final answer
    x = 2,224,520.80

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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.