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Finding the Third Proportional to 429,465,206 and 656,688,225

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Solution

The third proportional to 429,465,206 and 656,688,225 is: 1,004,131,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,465,206 : 656,688,225 = 656,688,225 : x
  2. Step 2: Convert to fraction form
    429,465,206/656,688,225 = 656,688,225/x
  3. Step 3: Cross multiply
    429,465,206x = 656,688,225 × 656,688,225
  4. Step 4: Simplify right side
    429,465,206x = 431,239,424,853,650,624
  5. Step 5: Solve for x
    x = 431,239,424,853,650,624/429,465,206
  6. Step 6: Final answer
    x = 1,004,131,228.39

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.