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Finding the Third Proportional to 563,466 and 1,252,916

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Solution

The third proportional to 563,466 and 1,252,916 is: 2,785,968.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,466 : 1,252,916 = 1,252,916 : x
  2. Step 2: Convert to fraction form
    563,466/1,252,916 = 1,252,916/x
  3. Step 3: Cross multiply
    563,466x = 1,252,916 × 1,252,916
  4. Step 4: Simplify right side
    563,466x = 1,569,798,503,056
  5. Step 5: Solve for x
    x = 1,569,798,503,056/563,466
  6. Step 6: Final answer
    x = 2,785,968.46

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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.