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Finding the Third Proportional to 563,886 and 1,183,128

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Solution

The third proportional to 563,886 and 1,183,128 is: 2,482,402.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,886 : 1,183,128 = 1,183,128 : x
  2. Step 2: Convert to fraction form
    563,886/1,183,128 = 1,183,128/x
  3. Step 3: Cross multiply
    563,886x = 1,183,128 × 1,183,128
  4. Step 4: Simplify right side
    563,886x = 1,399,791,864,384
  5. Step 5: Solve for x
    x = 1,399,791,864,384/563,886
  6. Step 6: Final answer
    x = 2,482,402.23

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.