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Finding the Third Proportional to 533,080 and 1,258,416

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Solution

The third proportional to 533,080 and 1,258,416 is: 2,970,681.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,080 : 1,258,416 = 1,258,416 : x
  2. Step 2: Convert to fraction form
    533,080/1,258,416 = 1,258,416/x
  3. Step 3: Cross multiply
    533,080x = 1,258,416 × 1,258,416
  4. Step 4: Simplify right side
    533,080x = 1,583,610,829,056
  5. Step 5: Solve for x
    x = 1,583,610,829,056/533,080
  6. Step 6: Final answer
    x = 2,970,681.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.