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Finding the Third Proportional to 523,613 and 1,130,773

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Solution

The third proportional to 523,613 and 1,130,773 is: 2,441,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,613 : 1,130,773 = 1,130,773 : x
  2. Step 2: Convert to fraction form
    523,613/1,130,773 = 1,130,773/x
  3. Step 3: Cross multiply
    523,613x = 1,130,773 × 1,130,773
  4. Step 4: Simplify right side
    523,613x = 1,278,647,577,529
  5. Step 5: Solve for x
    x = 1,278,647,577,529/523,613
  6. Step 6: Final answer
    x = 2,441,970.65

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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.