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Finding the Third Proportional to 657,583 and 1,366,823

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Solution

The third proportional to 657,583 and 1,366,823 is: 2,841,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,583 : 1,366,823 = 1,366,823 : x
  2. Step 2: Convert to fraction form
    657,583/1,366,823 = 1,366,823/x
  3. Step 3: Cross multiply
    657,583x = 1,366,823 × 1,366,823
  4. Step 4: Simplify right side
    657,583x = 1,868,205,113,329
  5. Step 5: Solve for x
    x = 1,868,205,113,329/657,583
  6. Step 6: Final answer
    x = 2,841,017.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.