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Finding the Third Proportional to 630,268 and 1,349,130

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Solution

The third proportional to 630,268 and 1,349,130 is: 2,887,901.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,268 : 1,349,130 = 1,349,130 : x
  2. Step 2: Convert to fraction form
    630,268/1,349,130 = 1,349,130/x
  3. Step 3: Cross multiply
    630,268x = 1,349,130 × 1,349,130
  4. Step 4: Simplify right side
    630,268x = 1,820,151,756,900
  5. Step 5: Solve for x
    x = 1,820,151,756,900/630,268
  6. Step 6: Final answer
    x = 2,887,901.27

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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.