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Finding the Third Proportional to 877,878 and 1,283,364

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Solution

The third proportional to 877,878 and 1,283,364 is: 1,876,141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,878 : 1,283,364 = 1,283,364 : x
  2. Step 2: Convert to fraction form
    877,878/1,283,364 = 1,283,364/x
  3. Step 3: Cross multiply
    877,878x = 1,283,364 × 1,283,364
  4. Step 4: Simplify right side
    877,878x = 1,647,023,156,496
  5. Step 5: Solve for x
    x = 1,647,023,156,496/877,878
  6. Step 6: Final answer
    x = 1,876,141.28

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.