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Finding the Third Proportional to 1,959,045.13 and 2,968,145.38

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Solution

The third proportional to 1,959,045.13 and 2,968,145.38 is: 4,497,031.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959,045.13 : 2,968,145.38 = 2,968,145.38 : x
  2. Step 2: Convert to fraction form
    1,959,045.13/2,968,145.38 = 2,968,145.38/x
  3. Step 3: Cross multiply
    1,959,045.13x = 2,968,145.38 × 2,968,145.38
  4. Step 4: Simplify right side
    1,959,045.13x = 8,809,886,967,133.89
  5. Step 5: Solve for x
    x = 8,809,886,967,133.89/1,959,045.13
  6. Step 6: Final answer
    x = 4,497,031.16

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.