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Finding the Third Proportional to 852,570 and 1,231,712

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Solution

The third proportional to 852,570 and 1,231,712 is: 1,779,460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,570 : 1,231,712 = 1,231,712 : x
  2. Step 2: Convert to fraction form
    852,570/1,231,712 = 1,231,712/x
  3. Step 3: Cross multiply
    852,570x = 1,231,712 × 1,231,712
  4. Step 4: Simplify right side
    852,570x = 1,517,114,450,944
  5. Step 5: Solve for x
    x = 1,517,114,450,944/852,570
  6. Step 6: Final answer
    x = 1,779,460.28

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.