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Finding the Third Proportional to 963,562.16 and 2,142,559.71

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Solution

The third proportional to 963,562.16 and 2,142,559.71 is: 4,764,157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,562.16 : 2,142,559.71 = 2,142,559.71 : x
  2. Step 2: Convert to fraction form
    963,562.16/2,142,559.71 = 2,142,559.71/x
  3. Step 3: Cross multiply
    963,562.16x = 2,142,559.71 × 2,142,559.71
  4. Step 4: Simplify right side
    963,562.16x = 4,590,562,127,486.70
  5. Step 5: Solve for x
    x = 4,590,562,127,486.70/963,562.16
  6. Step 6: Final answer
    x = 4,764,157.76

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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.