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Finding the Third Proportional to 897,196 and 1,961,576

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Solution

The third proportional to 897,196 and 1,961,576 is: 4,288,673.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,196 : 1,961,576 = 1,961,576 : x
  2. Step 2: Convert to fraction form
    897,196/1,961,576 = 1,961,576/x
  3. Step 3: Cross multiply
    897,196x = 1,961,576 × 1,961,576
  4. Step 4: Simplify right side
    897,196x = 3,847,780,403,776
  5. Step 5: Solve for x
    x = 3,847,780,403,776/897,196
  6. Step 6: Final answer
    x = 4,288,673.16

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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.