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Finding the Third Proportional to 529,632 and 1,210,032

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Solution

The third proportional to 529,632 and 1,210,032 is: 2,764,518.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,632 : 1,210,032 = 1,210,032 : x
  2. Step 2: Convert to fraction form
    529,632/1,210,032 = 1,210,032/x
  3. Step 3: Cross multiply
    529,632x = 1,210,032 × 1,210,032
  4. Step 4: Simplify right side
    529,632x = 1,464,177,441,024
  5. Step 5: Solve for x
    x = 1,464,177,441,024/529,632
  6. Step 6: Final answer
    x = 2,764,518.46

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.