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Finding the Third Proportional to 635,064 and 1,357,470

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Solution

The third proportional to 635,064 and 1,357,470 is: 2,901,636.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,064 : 1,357,470 = 1,357,470 : x
  2. Step 2: Convert to fraction form
    635,064/1,357,470 = 1,357,470/x
  3. Step 3: Cross multiply
    635,064x = 1,357,470 × 1,357,470
  4. Step 4: Simplify right side
    635,064x = 1,842,724,800,900
  5. Step 5: Solve for x
    x = 1,842,724,800,900/635,064
  6. Step 6: Final answer
    x = 2,901,636.37

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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.