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Finding the Third Proportional to 630,435.75 and 1,368,034.13

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Solution

The third proportional to 630,435.75 and 1,368,034.13 is: 2,968,609.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,435.75 : 1,368,034.13 = 1,368,034.13 : x
  2. Step 2: Convert to fraction form
    630,435.75/1,368,034.13 = 1,368,034.13/x
  3. Step 3: Cross multiply
    630,435.75x = 1,368,034.13 × 1,368,034.13
  4. Step 4: Simplify right side
    630,435.75x = 1,871,517,367,164.52
  5. Step 5: Solve for x
    x = 1,871,517,367,164.52/630,435.75
  6. Step 6: Final answer
    x = 2,968,609.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.