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Finding the Third Proportional to 1,030,432 and 2,257,696

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Solution

The third proportional to 1,030,432 and 2,257,696 is: 4,946,654.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,432 : 2,257,696 = 2,257,696 : x
  2. Step 2: Convert to fraction form
    1,030,432/2,257,696 = 2,257,696/x
  3. Step 3: Cross multiply
    1,030,432x = 2,257,696 × 2,257,696
  4. Step 4: Simplify right side
    1,030,432x = 5,097,191,228,416
  5. Step 5: Solve for x
    x = 5,097,191,228,416/1,030,432
  6. Step 6: Final answer
    x = 4,946,654.63

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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.