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Finding the Third Proportional to 563,956 and 1,220,840

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Solution

The third proportional to 563,956 and 1,220,840 is: 2,642,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,956 : 1,220,840 = 1,220,840 : x
  2. Step 2: Convert to fraction form
    563,956/1,220,840 = 1,220,840/x
  3. Step 3: Cross multiply
    563,956x = 1,220,840 × 1,220,840
  4. Step 4: Simplify right side
    563,956x = 1,490,450,305,600
  5. Step 5: Solve for x
    x = 1,490,450,305,600/563,956
  6. Step 6: Final answer
    x = 2,642,848.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.