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Finding the Third Proportional to 3,142,884 and 4,655,412

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Solution

The third proportional to 3,142,884 and 4,655,412 is: 6,895,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142,884 : 4,655,412 = 4,655,412 : x
  2. Step 2: Convert to fraction form
    3,142,884/4,655,412 = 4,655,412/x
  3. Step 3: Cross multiply
    3,142,884x = 4,655,412 × 4,655,412
  4. Step 4: Simplify right side
    3,142,884x = 21,672,860,889,744
  5. Step 5: Solve for x
    x = 21,672,860,889,744/3,142,884
  6. Step 6: Final answer
    x = 6,895,851.35

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.