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Finding the Third Proportional to 403,428 and 869,096

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Solution

The third proportional to 403,428 and 869,096 is: 1,872,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,428 : 869,096 = 869,096 : x
  2. Step 2: Convert to fraction form
    403,428/869,096 = 869,096/x
  3. Step 3: Cross multiply
    403,428x = 869,096 × 869,096
  4. Step 4: Simplify right side
    403,428x = 755,327,857,216
  5. Step 5: Solve for x
    x = 755,327,857,216/403,428
  6. Step 6: Final answer
    x = 1,872,274.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.