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Finding the Third Proportional to 1,038,024 and 2,253,276

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Solution

The third proportional to 1,038,024 and 2,253,276 is: 4,891,267.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038,024 : 2,253,276 = 2,253,276 : x
  2. Step 2: Convert to fraction form
    1,038,024/2,253,276 = 2,253,276/x
  3. Step 3: Cross multiply
    1,038,024x = 2,253,276 × 2,253,276
  4. Step 4: Simplify right side
    1,038,024x = 5,077,252,732,176
  5. Step 5: Solve for x
    x = 5,077,252,732,176/1,038,024
  6. Step 6: Final answer
    x = 4,891,267.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.