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Finding the Third Proportional to 567,656 and 946,056

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Solution

The third proportional to 567,656 and 946,056 is: 1,576,697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,656 : 946,056 = 946,056 : x
  2. Step 2: Convert to fraction form
    567,656/946,056 = 946,056/x
  3. Step 3: Cross multiply
    567,656x = 946,056 × 946,056
  4. Step 4: Simplify right side
    567,656x = 895,021,955,136
  5. Step 5: Solve for x
    x = 895,021,955,136/567,656
  6. Step 6: Final answer
    x = 1,576,697.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.