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Finding the Third Proportional to 1,400,304 and 2,851,968

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Solution

The third proportional to 1,400,304 and 2,851,968 is: 5,808,539.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400,304 : 2,851,968 = 2,851,968 : x
  2. Step 2: Convert to fraction form
    1,400,304/2,851,968 = 2,851,968/x
  3. Step 3: Cross multiply
    1,400,304x = 2,851,968 × 2,851,968
  4. Step 4: Simplify right side
    1,400,304x = 8,133,721,473,024
  5. Step 5: Solve for x
    x = 8,133,721,473,024/1,400,304
  6. Step 6: Final answer
    x = 5,808,539.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.