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Finding the Third Proportional to 877,164 and 1,921,848

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Solution

The third proportional to 877,164 and 1,921,848 is: 4,210,728.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,164 : 1,921,848 = 1,921,848 : x
  2. Step 2: Convert to fraction form
    877,164/1,921,848 = 1,921,848/x
  3. Step 3: Cross multiply
    877,164x = 1,921,848 × 1,921,848
  4. Step 4: Simplify right side
    877,164x = 3,693,499,735,104
  5. Step 5: Solve for x
    x = 3,693,499,735,104/877,164
  6. Step 6: Final answer
    x = 4,210,728.82

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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.