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Finding the Third Proportional to 986,408 and 2,155,456

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Solution

The third proportional to 986,408 and 2,155,456 is: 4,710,009.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,408 : 2,155,456 = 2,155,456 : x
  2. Step 2: Convert to fraction form
    986,408/2,155,456 = 2,155,456/x
  3. Step 3: Cross multiply
    986,408x = 2,155,456 × 2,155,456
  4. Step 4: Simplify right side
    986,408x = 4,645,990,567,936
  5. Step 5: Solve for x
    x = 4,645,990,567,936/986,408
  6. Step 6: Final answer
    x = 4,710,009.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.