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Finding the Third Proportional to 563,454 and 1,252,890

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Solution

The third proportional to 563,454 and 1,252,890 is: 2,785,912.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,454 : 1,252,890 = 1,252,890 : x
  2. Step 2: Convert to fraction form
    563,454/1,252,890 = 1,252,890/x
  3. Step 3: Cross multiply
    563,454x = 1,252,890 × 1,252,890
  4. Step 4: Simplify right side
    563,454x = 1,569,733,352,100
  5. Step 5: Solve for x
    x = 1,569,733,352,100/563,454
  6. Step 6: Final answer
    x = 2,785,912.16

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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.