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Finding the Third Proportional to 914,219.16 and 1,417,548.09

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Solution

The third proportional to 914,219.16 and 1,417,548.09 is: 2,197,987.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,219.16 : 1,417,548.09 = 1,417,548.09 : x
  2. Step 2: Convert to fraction form
    914,219.16/1,417,548.09 = 1,417,548.09/x
  3. Step 3: Cross multiply
    914,219.16x = 1,417,548.09 × 1,417,548.09
  4. Step 4: Simplify right side
    914,219.16x = 2,009,442,598,094.26
  5. Step 5: Solve for x
    x = 2,009,442,598,094.26/914,219.16
  6. Step 6: Final answer
    x = 2,197,987.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.