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Finding the Third Proportional to 869,430 and 1,843,532

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Solution

The third proportional to 869,430 and 1,843,532 is: 3,909,009.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,430 : 1,843,532 = 1,843,532 : x
  2. Step 2: Convert to fraction form
    869,430/1,843,532 = 1,843,532/x
  3. Step 3: Cross multiply
    869,430x = 1,843,532 × 1,843,532
  4. Step 4: Simplify right side
    869,430x = 3,398,610,235,024
  5. Step 5: Solve for x
    x = 3,398,610,235,024/869,430
  6. Step 6: Final answer
    x = 3,909,009.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.