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Finding the Third Proportional to 635,712 and 1,347,240

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Solution

The third proportional to 635,712 and 1,347,240 is: 2,855,153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,712 : 1,347,240 = 1,347,240 : x
  2. Step 2: Convert to fraction form
    635,712/1,347,240 = 1,347,240/x
  3. Step 3: Cross multiply
    635,712x = 1,347,240 × 1,347,240
  4. Step 4: Simplify right side
    635,712x = 1,815,055,617,600
  5. Step 5: Solve for x
    x = 1,815,055,617,600/635,712
  6. Step 6: Final answer
    x = 2,855,153.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.