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Finding the Third Proportional to 2,086,572 and 4,571,664

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Solution

The third proportional to 2,086,572 and 4,571,664 is: 10,016,482.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086,572 : 4,571,664 = 4,571,664 : x
  2. Step 2: Convert to fraction form
    2,086,572/4,571,664 = 4,571,664/x
  3. Step 3: Cross multiply
    2,086,572x = 4,571,664 × 4,571,664
  4. Step 4: Simplify right side
    2,086,572x = 20,900,111,728,896
  5. Step 5: Solve for x
    x = 20,900,111,728,896/2,086,572
  6. Step 6: Final answer
    x = 10,016,482.41

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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.