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Finding the Third Proportional to 511,724,938 and 748,396,447

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Solution

The third proportional to 511,724,938 and 748,396,447 is: 1,094,527,939.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,724,938 : 748,396,447 = 748,396,447 : x
  2. Step 2: Convert to fraction form
    511,724,938/748,396,447 = 748,396,447/x
  3. Step 3: Cross multiply
    511,724,938x = 748,396,447 × 748,396,447
  4. Step 4: Simplify right side
    511,724,938x = 560,097,241,882,223,808
  5. Step 5: Solve for x
    x = 560,097,241,882,223,808/511,724,938
  6. Step 6: Final answer
    x = 1,094,527,939.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.