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Finding the Third Proportional to 635,068 and 1,357,476

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Solution

The third proportional to 635,068 and 1,357,476 is: 2,901,643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,068 : 1,357,476 = 1,357,476 : x
  2. Step 2: Convert to fraction form
    635,068/1,357,476 = 1,357,476/x
  3. Step 3: Cross multiply
    635,068x = 1,357,476 × 1,357,476
  4. Step 4: Simplify right side
    635,068x = 1,842,741,090,576
  5. Step 5: Solve for x
    x = 1,842,741,090,576/635,068
  6. Step 6: Final answer
    x = 2,901,643.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.