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Finding the Third Proportional to 1,350,006 and 2,851,764

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Solution

The third proportional to 1,350,006 and 2,851,764 is: 6,024,090.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350,006 : 2,851,764 = 2,851,764 : x
  2. Step 2: Convert to fraction form
    1,350,006/2,851,764 = 2,851,764/x
  3. Step 3: Cross multiply
    1,350,006x = 2,851,764 × 2,851,764
  4. Step 4: Simplify right side
    1,350,006x = 8,132,557,911,696
  5. Step 5: Solve for x
    x = 8,132,557,911,696/1,350,006
  6. Step 6: Final answer
    x = 6,024,090.20

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.