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Finding the Third Proportional to 563,952 and 1,220,832

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Solution

The third proportional to 563,952 and 1,220,832 is: 2,642,832.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,952 : 1,220,832 = 1,220,832 : x
  2. Step 2: Convert to fraction form
    563,952/1,220,832 = 1,220,832/x
  3. Step 3: Cross multiply
    563,952x = 1,220,832 × 1,220,832
  4. Step 4: Simplify right side
    563,952x = 1,490,430,772,224
  5. Step 5: Solve for x
    x = 1,490,430,772,224/563,952
  6. Step 6: Final answer
    x = 2,642,832.67

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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.