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Finding the Third Proportional to 857,868,252 and 1,285,649,829

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Solution

The third proportional to 857,868,252 and 1,285,649,829 is: 1,926,747,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,868,252 : 1,285,649,829 = 1,285,649,829 : x
  2. Step 2: Convert to fraction form
    857,868,252/1,285,649,829 = 1,285,649,829/x
  3. Step 3: Cross multiply
    857,868,252x = 1,285,649,829 × 1,285,649,829
  4. Step 4: Simplify right side
    857,868,252x = 1,652,895,482,807,729,152
  5. Step 5: Solve for x
    x = 1,652,895,482,807,729,152/857,868,252
  6. Step 6: Final answer
    x = 1,926,747,468.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.