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Finding the Third Proportional to 563,457 and 1,252,893

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Solution

The third proportional to 563,457 and 1,252,893 is: 2,785,910.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,457 : 1,252,893 = 1,252,893 : x
  2. Step 2: Convert to fraction form
    563,457/1,252,893 = 1,252,893/x
  3. Step 3: Cross multiply
    563,457x = 1,252,893 × 1,252,893
  4. Step 4: Simplify right side
    563,457x = 1,569,740,869,449
  5. Step 5: Solve for x
    x = 1,569,740,869,449/563,457
  6. Step 6: Final answer
    x = 2,785,910.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.