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Finding the Third Proportional to 594,767,671 and 1,288,384,998

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Solution

The third proportional to 594,767,671 and 1,288,384,998 is: 2,790,897,999.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,767,671 : 1,288,384,998 = 1,288,384,998 : x
  2. Step 2: Convert to fraction form
    594,767,671/1,288,384,998 = 1,288,384,998/x
  3. Step 3: Cross multiply
    594,767,671x = 1,288,384,998 × 1,288,384,998
  4. Step 4: Simplify right side
    594,767,671x = 1,659,935,903,071,460,096
  5. Step 5: Solve for x
    x = 1,659,935,903,071,460,096/594,767,671
  6. Step 6: Final answer
    x = 2,790,897,999.35

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Why These Related Problems?

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