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Finding the Third Proportional to 408,196 and 895,160

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Solution

The third proportional to 408,196 and 895,160 is: 1,963,055.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,196 : 895,160 = 895,160 : x
  2. Step 2: Convert to fraction form
    408,196/895,160 = 895,160/x
  3. Step 3: Cross multiply
    408,196x = 895,160 × 895,160
  4. Step 4: Simplify right side
    408,196x = 801,311,425,600
  5. Step 5: Solve for x
    x = 801,311,425,600/408,196
  6. Step 6: Final answer
    x = 1,963,055.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.