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Finding the Third Proportional to 4,871,766 and 6,811,056

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Solution

The third proportional to 4,871,766 and 6,811,056 is: 9,522,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871,766 : 6,811,056 = 6,811,056 : x
  2. Step 2: Convert to fraction form
    4,871,766/6,811,056 = 6,811,056/x
  3. Step 3: Cross multiply
    4,871,766x = 6,811,056 × 6,811,056
  4. Step 4: Simplify right side
    4,871,766x = 46,390,483,835,136
  5. Step 5: Solve for x
    x = 46,390,483,835,136/4,871,766
  6. Step 6: Final answer
    x = 9,522,313.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.