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Finding the Third Proportional to 415,569 and 897,576

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Solution

The third proportional to 415,569 and 897,576 is: 1,938,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,569 : 897,576 = 897,576 : x
  2. Step 2: Convert to fraction form
    415,569/897,576 = 897,576/x
  3. Step 3: Cross multiply
    415,569x = 897,576 × 897,576
  4. Step 4: Simplify right side
    415,569x = 805,642,675,776
  5. Step 5: Solve for x
    x = 805,642,675,776/415,569
  6. Step 6: Final answer
    x = 1,938,649.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.