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Finding the Third Proportional to 1,172,902,005 and 1,721,008,941

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Solution

The third proportional to 1,172,902,005 and 1,721,008,941 is: 2,525,250,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172,902,005 : 1,721,008,941 = 1,721,008,941 : x
  2. Step 2: Convert to fraction form
    1,172,902,005/1,721,008,941 = 1,721,008,941/x
  3. Step 3: Cross multiply
    1,172,902,005x = 1,721,008,941 × 1,721,008,941
  4. Step 4: Simplify right side
    1,172,902,005x = 2,961,871,775,001,941,504
  5. Step 5: Solve for x
    x = 2,961,871,775,001,941,504/1,172,902,005
  6. Step 6: Final answer
    x = 2,525,250,841.40

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.