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Finding the Third Proportional to 647,200 and 1,013,044

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Solution

The third proportional to 647,200 and 1,013,044 is: 1,585,689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,200 : 1,013,044 = 1,013,044 : x
  2. Step 2: Convert to fraction form
    647,200/1,013,044 = 1,013,044/x
  3. Step 3: Cross multiply
    647,200x = 1,013,044 × 1,013,044
  4. Step 4: Simplify right side
    647,200x = 1,026,258,145,936
  5. Step 5: Solve for x
    x = 1,026,258,145,936/647,200
  6. Step 6: Final answer
    x = 1,585,689.35

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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.