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Finding the Third Proportional to 635,520 and 931,896

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Solution

The third proportional to 635,520 and 931,896 is: 1,366,487.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,520 : 931,896 = 931,896 : x
  2. Step 2: Convert to fraction form
    635,520/931,896 = 931,896/x
  3. Step 3: Cross multiply
    635,520x = 931,896 × 931,896
  4. Step 4: Simplify right side
    635,520x = 868,430,154,816
  5. Step 5: Solve for x
    x = 868,430,154,816/635,520
  6. Step 6: Final answer
    x = 1,366,487.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.