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Finding the Third Proportional to 946,390 and 1,469,508

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Solution

The third proportional to 946,390 and 1,469,508 is: 2,281,779.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,390 : 1,469,508 = 1,469,508 : x
  2. Step 2: Convert to fraction form
    946,390/1,469,508 = 1,469,508/x
  3. Step 3: Cross multiply
    946,390x = 1,469,508 × 1,469,508
  4. Step 4: Simplify right side
    946,390x = 2,159,453,762,064
  5. Step 5: Solve for x
    x = 2,159,453,762,064/946,390
  6. Step 6: Final answer
    x = 2,281,779.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.