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Finding the Third Proportional to 469,624 and 1,005,648

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Solution

The third proportional to 469,624 and 1,005,648 is: 2,153,484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,624 : 1,005,648 = 1,005,648 : x
  2. Step 2: Convert to fraction form
    469,624/1,005,648 = 1,005,648/x
  3. Step 3: Cross multiply
    469,624x = 1,005,648 × 1,005,648
  4. Step 4: Simplify right side
    469,624x = 1,011,327,899,904
  5. Step 5: Solve for x
    x = 1,011,327,899,904/469,624
  6. Step 6: Final answer
    x = 2,153,484.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.