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Finding the Third Proportional to 647,217 and 1,013,070

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Solution

The third proportional to 647,217 and 1,013,070 is: 1,585,729.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,217 : 1,013,070 = 1,013,070 : x
  2. Step 2: Convert to fraction form
    647,217/1,013,070 = 1,013,070/x
  3. Step 3: Cross multiply
    647,217x = 1,013,070 × 1,013,070
  4. Step 4: Simplify right side
    647,217x = 1,026,310,824,900
  5. Step 5: Solve for x
    x = 1,026,310,824,900/647,217
  6. Step 6: Final answer
    x = 1,585,729.09

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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.