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Finding the Third Proportional to 1,310,544 and 1,977,840

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Solution

The third proportional to 1,310,544 and 1,977,840 is: 2,984,906.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,544 : 1,977,840 = 1,977,840 : x
  2. Step 2: Convert to fraction form
    1,310,544/1,977,840 = 1,977,840/x
  3. Step 3: Cross multiply
    1,310,544x = 1,977,840 × 1,977,840
  4. Step 4: Simplify right side
    1,310,544x = 3,911,851,065,600
  5. Step 5: Solve for x
    x = 3,911,851,065,600/1,310,544
  6. Step 6: Final answer
    x = 2,984,906.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.