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Finding the Third Proportional to 635,484 and 931,842

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Solution

The third proportional to 635,484 and 931,842 is: 1,366,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,484 : 931,842 = 931,842 : x
  2. Step 2: Convert to fraction form
    635,484/931,842 = 931,842/x
  3. Step 3: Cross multiply
    635,484x = 931,842 × 931,842
  4. Step 4: Simplify right side
    635,484x = 868,329,512,964
  5. Step 5: Solve for x
    x = 868,329,512,964/635,484
  6. Step 6: Final answer
    x = 1,366,406.57

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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.