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Finding the Third Proportional to 808,160 and 1,758,196

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Solution

The third proportional to 808,160 and 1,758,196 is: 3,825,050.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,160 : 1,758,196 = 1,758,196 : x
  2. Step 2: Convert to fraction form
    808,160/1,758,196 = 1,758,196/x
  3. Step 3: Cross multiply
    808,160x = 1,758,196 × 1,758,196
  4. Step 4: Simplify right side
    808,160x = 3,091,253,174,416
  5. Step 5: Solve for x
    x = 3,091,253,174,416/808,160
  6. Step 6: Final answer
    x = 3,825,050.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.