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Finding the Third Proportional to 617,856 and 1,353,840

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Solution

The third proportional to 617,856 and 1,353,840 is: 2,966,520.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,856 : 1,353,840 = 1,353,840 : x
  2. Step 2: Convert to fraction form
    617,856/1,353,840 = 1,353,840/x
  3. Step 3: Cross multiply
    617,856x = 1,353,840 × 1,353,840
  4. Step 4: Simplify right side
    617,856x = 1,832,882,745,600
  5. Step 5: Solve for x
    x = 1,832,882,745,600/617,856
  6. Step 6: Final answer
    x = 2,966,520.91

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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.