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Finding the Third Proportional to 730,080 and 1,696,176

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Solution

The third proportional to 730,080 and 1,696,176 is: 3,940,681.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,080 : 1,696,176 = 1,696,176 : x
  2. Step 2: Convert to fraction form
    730,080/1,696,176 = 1,696,176/x
  3. Step 3: Cross multiply
    730,080x = 1,696,176 × 1,696,176
  4. Step 4: Simplify right side
    730,080x = 2,877,013,022,976
  5. Step 5: Solve for x
    x = 2,877,013,022,976/730,080
  6. Step 6: Final answer
    x = 3,940,681.87

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.