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Finding the Third Proportional to 3,142,878 and 4,655,406

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Solution

The third proportional to 3,142,878 and 4,655,406 is: 6,895,846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142,878 : 4,655,406 = 4,655,406 : x
  2. Step 2: Convert to fraction form
    3,142,878/4,655,406 = 4,655,406/x
  3. Step 3: Cross multiply
    3,142,878x = 4,655,406 × 4,655,406
  4. Step 4: Simplify right side
    3,142,878x = 21,672,805,024,836
  5. Step 5: Solve for x
    x = 21,672,805,024,836/3,142,878
  6. Step 6: Final answer
    x = 6,895,846.74

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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.