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Finding the Third Proportional to 706,423.50 and 1,543,981.50

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Solution

The third proportional to 706,423.50 and 1,543,981.50 is: 3,374,574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,423.50 : 1,543,981.50 = 1,543,981.50 : x
  2. Step 2: Convert to fraction form
    706,423.50/1,543,981.50 = 1,543,981.50/x
  3. Step 3: Cross multiply
    706,423.50x = 1,543,981.50 × 1,543,981.50
  4. Step 4: Simplify right side
    706,423.50x = 2,383,878,872,342.25
  5. Step 5: Solve for x
    x = 2,383,878,872,342.25/706,423.50
  6. Step 6: Final answer
    x = 3,374,574.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.