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Finding the Third Proportional to 1,158,200 and 1,771,743

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Solution

The third proportional to 1,158,200 and 1,771,743 is: 2,710,303.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158,200 : 1,771,743 = 1,771,743 : x
  2. Step 2: Convert to fraction form
    1,158,200/1,771,743 = 1,771,743/x
  3. Step 3: Cross multiply
    1,158,200x = 1,771,743 × 1,771,743
  4. Step 4: Simplify right side
    1,158,200x = 3,139,073,258,049
  5. Step 5: Solve for x
    x = 3,139,073,258,049/1,158,200
  6. Step 6: Final answer
    x = 2,710,303.28

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.