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Finding the Third Proportional to 524,734,274 and 1,148,316,988

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Solution

The third proportional to 524,734,274 and 1,148,316,988 is: 2,512,951,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,734,274 : 1,148,316,988 = 1,148,316,988 : x
  2. Step 2: Convert to fraction form
    524,734,274/1,148,316,988 = 1,148,316,988/x
  3. Step 3: Cross multiply
    524,734,274x = 1,148,316,988 × 1,148,316,988
  4. Step 4: Simplify right side
    524,734,274x = 1,318,631,904,929,392,128
  5. Step 5: Solve for x
    x = 1,318,631,904,929,392,128/524,734,274
  6. Step 6: Final answer
    x = 2,512,951,736.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.