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Finding the Third Proportional to 1,165,098 and 1,574,123

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Solution

The third proportional to 1,165,098 and 1,574,123 is: 2,126,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,098 : 1,574,123 = 1,574,123 : x
  2. Step 2: Convert to fraction form
    1,165,098/1,574,123 = 1,574,123/x
  3. Step 3: Cross multiply
    1,165,098x = 1,574,123 × 1,574,123
  4. Step 4: Simplify right side
    1,165,098x = 2,477,863,219,129
  5. Step 5: Solve for x
    x = 2,477,863,219,129/1,165,098
  6. Step 6: Final answer
    x = 2,126,742.32

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.