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Finding the Third Proportional to 617,746 and 1,353,588

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Solution

The third proportional to 617,746 and 1,353,588 is: 2,965,944.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,746 : 1,353,588 = 1,353,588 : x
  2. Step 2: Convert to fraction form
    617,746/1,353,588 = 1,353,588/x
  3. Step 3: Cross multiply
    617,746x = 1,353,588 × 1,353,588
  4. Step 4: Simplify right side
    617,746x = 1,832,200,473,744
  5. Step 5: Solve for x
    x = 1,832,200,473,744/617,746
  6. Step 6: Final answer
    x = 2,965,944.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.