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Finding the Third Proportional to 351,452,706 and 731,994,900

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Solution

The third proportional to 351,452,706 and 731,994,900 is: 1,524,576,492.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,452,706 : 731,994,900 = 731,994,900 : x
  2. Step 2: Convert to fraction form
    351,452,706/731,994,900 = 731,994,900/x
  3. Step 3: Cross multiply
    351,452,706x = 731,994,900 × 731,994,900
  4. Step 4: Simplify right side
    351,452,706x = 535,816,533,626,009,984
  5. Step 5: Solve for x
    x = 535,816,533,626,009,984/351,452,706
  6. Step 6: Final answer
    x = 1,524,576,492.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.