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Finding the Third Proportional to 1,046,742 and 1,611,153

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Solution

The third proportional to 1,046,742 and 1,611,153 is: 2,479,898.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,742 : 1,611,153 = 1,611,153 : x
  2. Step 2: Convert to fraction form
    1,046,742/1,611,153 = 1,611,153/x
  3. Step 3: Cross multiply
    1,046,742x = 1,611,153 × 1,611,153
  4. Step 4: Simplify right side
    1,046,742x = 2,595,813,989,409
  5. Step 5: Solve for x
    x = 2,595,813,989,409/1,046,742
  6. Step 6: Final answer
    x = 2,479,898.57

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Why These Related Problems?

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