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Finding the Third Proportional to 5,243,902 and 7,084,971

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Solution

The third proportional to 5,243,902 and 7,084,971 is: 9,572,416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243,902 : 7,084,971 = 7,084,971 : x
  2. Step 2: Convert to fraction form
    5,243,902/7,084,971 = 7,084,971/x
  3. Step 3: Cross multiply
    5,243,902x = 7,084,971 × 7,084,971
  4. Step 4: Simplify right side
    5,243,902x = 50,196,814,070,841
  5. Step 5: Solve for x
    x = 50,196,814,070,841/5,243,902
  6. Step 6: Final answer
    x = 9,572,416.51

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.