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Finding the Third Proportional to 546,481,884 and 845,259,222

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Solution

The third proportional to 546,481,884 and 845,259,222 is: 1,307,386,709.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,481,884 : 845,259,222 = 845,259,222 : x
  2. Step 2: Convert to fraction form
    546,481,884/845,259,222 = 845,259,222/x
  3. Step 3: Cross multiply
    546,481,884x = 845,259,222 × 845,259,222
  4. Step 4: Simplify right side
    546,481,884x = 714,463,152,376,045,312
  5. Step 5: Solve for x
    x = 714,463,152,376,045,312/546,481,884
  6. Step 6: Final answer
    x = 1,307,386,709.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.