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Finding the Third Proportional to 577,502,696 and 1,202,594,464

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Solution

The third proportional to 577,502,696 and 1,202,594,464 is: 2,504,288,646.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,502,696 : 1,202,594,464 = 1,202,594,464 : x
  2. Step 2: Convert to fraction form
    577,502,696/1,202,594,464 = 1,202,594,464/x
  3. Step 3: Cross multiply
    577,502,696x = 1,202,594,464 × 1,202,594,464
  4. Step 4: Simplify right side
    577,502,696x = 1,446,233,444,843,447,296
  5. Step 5: Solve for x
    x = 1,446,233,444,843,447,296/577,502,696
  6. Step 6: Final answer
    x = 2,504,288,646.37

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