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Finding the Third Proportional to 692,214 and 1,012,041

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Solution

The third proportional to 692,214 and 1,012,041 is: 1,479,639.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,214 : 1,012,041 = 1,012,041 : x
  2. Step 2: Convert to fraction form
    692,214/1,012,041 = 1,012,041/x
  3. Step 3: Cross multiply
    692,214x = 1,012,041 × 1,012,041
  4. Step 4: Simplify right side
    692,214x = 1,024,226,985,681
  5. Step 5: Solve for x
    x = 1,024,226,985,681/692,214
  6. Step 6: Final answer
    x = 1,479,639.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.