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Finding the Third Proportional to 504,814,695 and 775,457,180

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Solution

The third proportional to 504,814,695 and 775,457,180 is: 1,191,197,173.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,814,695 : 775,457,180 = 775,457,180 : x
  2. Step 2: Convert to fraction form
    504,814,695/775,457,180 = 775,457,180/x
  3. Step 3: Cross multiply
    504,814,695x = 775,457,180 × 775,457,180
  4. Step 4: Simplify right side
    504,814,695x = 601,333,838,013,552,384
  5. Step 5: Solve for x
    x = 601,333,838,013,552,384/504,814,695
  6. Step 6: Final answer
    x = 1,191,197,173.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.