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Finding the Third Proportional to 1,005,356 and 2,168,128

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Solution

The third proportional to 1,005,356 and 2,168,128 is: 4,675,735.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,356 : 2,168,128 = 2,168,128 : x
  2. Step 2: Convert to fraction form
    1,005,356/2,168,128 = 2,168,128/x
  3. Step 3: Cross multiply
    1,005,356x = 2,168,128 × 2,168,128
  4. Step 4: Simplify right side
    1,005,356x = 4,700,779,024,384
  5. Step 5: Solve for x
    x = 4,700,779,024,384/1,005,356
  6. Step 6: Final answer
    x = 4,675,735.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.