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Finding the Third Proportional to 510,236 and 1,117,148

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Solution

The third proportional to 510,236 and 1,117,148 is: 2,445,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,236 : 1,117,148 = 1,117,148 : x
  2. Step 2: Convert to fraction form
    510,236/1,117,148 = 1,117,148/x
  3. Step 3: Cross multiply
    510,236x = 1,117,148 × 1,117,148
  4. Step 4: Simplify right side
    510,236x = 1,248,019,653,904
  5. Step 5: Solve for x
    x = 1,248,019,653,904/510,236
  6. Step 6: Final answer
    x = 2,445,965.50

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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.