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Finding the Third Proportional to 647,202 and 1,013,052

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Solution

The third proportional to 647,202 and 1,013,052 is: 1,585,709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,202 : 1,013,052 = 1,013,052 : x
  2. Step 2: Convert to fraction form
    647,202/1,013,052 = 1,013,052/x
  3. Step 3: Cross multiply
    647,202x = 1,013,052 × 1,013,052
  4. Step 4: Simplify right side
    647,202x = 1,026,274,354,704
  5. Step 5: Solve for x
    x = 1,026,274,354,704/647,202
  6. Step 6: Final answer
    x = 1,585,709.49

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.