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Finding the Third Proportional to 1,308,582 and 1,969,425

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Solution

The third proportional to 1,308,582 and 1,969,425 is: 2,963,998.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308,582 : 1,969,425 = 1,969,425 : x
  2. Step 2: Convert to fraction form
    1,308,582/1,969,425 = 1,969,425/x
  3. Step 3: Cross multiply
    1,308,582x = 1,969,425 × 1,969,425
  4. Step 4: Simplify right side
    1,308,582x = 3,878,634,830,625
  5. Step 5: Solve for x
    x = 3,878,634,830,625/1,308,582
  6. Step 6: Final answer
    x = 2,963,998.31

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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.