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Finding the Third Proportional to 569,610 and 1,212,840

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Solution

The third proportional to 569,610 and 1,212,840 is: 2,582,435.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,610 : 1,212,840 = 1,212,840 : x
  2. Step 2: Convert to fraction form
    569,610/1,212,840 = 1,212,840/x
  3. Step 3: Cross multiply
    569,610x = 1,212,840 × 1,212,840
  4. Step 4: Simplify right side
    569,610x = 1,470,980,865,600
  5. Step 5: Solve for x
    x = 1,470,980,865,600/569,610
  6. Step 6: Final answer
    x = 2,582,435.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.