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Finding the Third Proportional to 705,102 and 1,074,172.50

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Solution

The third proportional to 705,102 and 1,074,172.50 is: 1,636,425.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,102 : 1,074,172.50 = 1,074,172.50 : x
  2. Step 2: Convert to fraction form
    705,102/1,074,172.50 = 1,074,172.50/x
  3. Step 3: Cross multiply
    705,102x = 1,074,172.50 × 1,074,172.50
  4. Step 4: Simplify right side
    705,102x = 1,153,846,559,756.25
  5. Step 5: Solve for x
    x = 1,153,846,559,756.25/705,102
  6. Step 6: Final answer
    x = 1,636,425.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.