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Finding the Third Proportional to 475,860 and 1,030,128

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Solution

The third proportional to 475,860 and 1,030,128 is: 2,229,991.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,860 : 1,030,128 = 1,030,128 : x
  2. Step 2: Convert to fraction form
    475,860/1,030,128 = 1,030,128/x
  3. Step 3: Cross multiply
    475,860x = 1,030,128 × 1,030,128
  4. Step 4: Simplify right side
    475,860x = 1,061,163,696,384
  5. Step 5: Solve for x
    x = 1,061,163,696,384/475,860
  6. Step 6: Final answer
    x = 2,229,991.38

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