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Finding the Third Proportional to 1,417,565 and 2,178,848

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Solution

The third proportional to 1,417,565 and 2,178,848 is: 3,348,967.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417,565 : 2,178,848 = 2,178,848 : x
  2. Step 2: Convert to fraction form
    1,417,565/2,178,848 = 2,178,848/x
  3. Step 3: Cross multiply
    1,417,565x = 2,178,848 × 2,178,848
  4. Step 4: Simplify right side
    1,417,565x = 4,747,378,607,104
  5. Step 5: Solve for x
    x = 4,747,378,607,104/1,417,565
  6. Step 6: Final answer
    x = 3,348,967.14

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.