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Finding the Third Proportional to 297,114,154 and 651,623,936

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Solution

The third proportional to 297,114,154 and 651,623,936 is: 1,429,126,644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,114,154 : 651,623,936 = 651,623,936 : x
  2. Step 2: Convert to fraction form
    297,114,154/651,623,936 = 651,623,936/x
  3. Step 3: Cross multiply
    297,114,154x = 651,623,936 × 651,623,936
  4. Step 4: Simplify right side
    297,114,154x = 424,613,753,968,132,096
  5. Step 5: Solve for x
    x = 424,613,753,968,132,096/297,114,154
  6. Step 6: Final answer
    x = 1,429,126,644.60

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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.