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Finding the Third Proportional to 869,712 and 1,330,506

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Solution

The third proportional to 869,712 and 1,330,506 is: 2,035,439.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,712 : 1,330,506 = 1,330,506 : x
  2. Step 2: Convert to fraction form
    869,712/1,330,506 = 1,330,506/x
  3. Step 3: Cross multiply
    869,712x = 1,330,506 × 1,330,506
  4. Step 4: Simplify right side
    869,712x = 1,770,246,216,036
  5. Step 5: Solve for x
    x = 1,770,246,216,036/869,712
  6. Step 6: Final answer
    x = 2,035,439.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.