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Finding the Third Proportional to 563,461 and 1,252,903

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Solution

The third proportional to 563,461 and 1,252,903 is: 2,785,935.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,461 : 1,252,903 = 1,252,903 : x
  2. Step 2: Convert to fraction form
    563,461/1,252,903 = 1,252,903/x
  3. Step 3: Cross multiply
    563,461x = 1,252,903 × 1,252,903
  4. Step 4: Simplify right side
    563,461x = 1,569,765,927,409
  5. Step 5: Solve for x
    x = 1,569,765,927,409/563,461
  6. Step 6: Final answer
    x = 2,785,935.37

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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.