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Finding the Third Proportional to 703,689 and 1,533,681

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Solution

The third proportional to 703,689 and 1,533,681 is: 3,342,637.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,689 : 1,533,681 = 1,533,681 : x
  2. Step 2: Convert to fraction form
    703,689/1,533,681 = 1,533,681/x
  3. Step 3: Cross multiply
    703,689x = 1,533,681 × 1,533,681
  4. Step 4: Simplify right side
    703,689x = 2,352,177,409,761
  5. Step 5: Solve for x
    x = 2,352,177,409,761/703,689
  6. Step 6: Final answer
    x = 3,342,637.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.