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Finding the Third Proportional to 531,425,760 and 748,038,470

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Solution

The third proportional to 531,425,760 and 748,038,470 is: 1,052,943,975.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,425,760 : 748,038,470 = 748,038,470 : x
  2. Step 2: Convert to fraction form
    531,425,760/748,038,470 = 748,038,470/x
  3. Step 3: Cross multiply
    531,425,760x = 748,038,470 × 748,038,470
  4. Step 4: Simplify right side
    531,425,760x = 559,561,552,599,940,928
  5. Step 5: Solve for x
    x = 559,561,552,599,940,928/531,425,760
  6. Step 6: Final answer
    x = 1,052,943,975.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.