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Finding the Third Proportional to 692,220 and 1,012,050

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Solution

The third proportional to 692,220 and 1,012,050 is: 1,479,652.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,220 : 1,012,050 = 1,012,050 : x
  2. Step 2: Convert to fraction form
    692,220/1,012,050 = 1,012,050/x
  3. Step 3: Cross multiply
    692,220x = 1,012,050 × 1,012,050
  4. Step 4: Simplify right side
    692,220x = 1,024,245,202,500
  5. Step 5: Solve for x
    x = 1,024,245,202,500/692,220
  6. Step 6: Final answer
    x = 1,479,652.72

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