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Finding the Third Proportional to 635,072 and 1,357,484

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Solution

The third proportional to 635,072 and 1,357,484 is: 2,901,659.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,072 : 1,357,484 = 1,357,484 : x
  2. Step 2: Convert to fraction form
    635,072/1,357,484 = 1,357,484/x
  3. Step 3: Cross multiply
    635,072x = 1,357,484 × 1,357,484
  4. Step 4: Simplify right side
    635,072x = 1,842,762,810,256
  5. Step 5: Solve for x
    x = 1,842,762,810,256/635,072
  6. Step 6: Final answer
    x = 2,901,659.67

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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.