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Finding the Third Proportional to 598,828,551 and 1,310,543,481

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Solution

The third proportional to 598,828,551 and 1,310,543,481 is: 2,868,140,159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,828,551 : 1,310,543,481 = 1,310,543,481 : x
  2. Step 2: Convert to fraction form
    598,828,551/1,310,543,481 = 1,310,543,481/x
  3. Step 3: Cross multiply
    598,828,551x = 1,310,543,481 × 1,310,543,481
  4. Step 4: Simplify right side
    598,828,551x = 1,717,524,215,591,597,312
  5. Step 5: Solve for x
    x = 1,717,524,215,591,597,312/598,828,551
  6. Step 6: Final answer
    x = 2,868,140,159.19

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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.