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Finding the Third Proportional to 1,165,106 and 1,574,133

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Solution

The third proportional to 1,165,106 and 1,574,133 is: 2,126,754.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,106 : 1,574,133 = 1,574,133 : x
  2. Step 2: Convert to fraction form
    1,165,106/1,574,133 = 1,574,133/x
  3. Step 3: Cross multiply
    1,165,106x = 1,574,133 × 1,574,133
  4. Step 4: Simplify right side
    1,165,106x = 2,477,894,701,689
  5. Step 5: Solve for x
    x = 2,477,894,701,689/1,165,106
  6. Step 6: Final answer
    x = 2,126,754.73

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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.