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Finding the Third Proportional to 339,691,126 and 742,968,175

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Solution

The third proportional to 339,691,126 and 742,968,175 is: 1,625,010,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,691,126 : 742,968,175 = 742,968,175 : x
  2. Step 2: Convert to fraction form
    339,691,126/742,968,175 = 742,968,175/x
  3. Step 3: Cross multiply
    339,691,126x = 742,968,175 × 742,968,175
  4. Step 4: Simplify right side
    339,691,126x = 552,001,709,062,830,656
  5. Step 5: Solve for x
    x = 552,001,709,062,830,656/339,691,126
  6. Step 6: Final answer
    x = 1,625,010,684.16

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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.