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Finding the Third Proportional to 476,848 and 1,035,712

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Solution

The third proportional to 476,848 and 1,035,712 is: 2,249,562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,848 : 1,035,712 = 1,035,712 : x
  2. Step 2: Convert to fraction form
    476,848/1,035,712 = 1,035,712/x
  3. Step 3: Cross multiply
    476,848x = 1,035,712 × 1,035,712
  4. Step 4: Simplify right side
    476,848x = 1,072,699,346,944
  5. Step 5: Solve for x
    x = 1,072,699,346,944/476,848
  6. Step 6: Final answer
    x = 2,249,562.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.