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Finding the Third Proportional to 734,913 and 1,574,797.50

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Solution

The third proportional to 734,913 and 1,574,797.50 is: 3,374,531.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,913 : 1,574,797.50 = 1,574,797.50 : x
  2. Step 2: Convert to fraction form
    734,913/1,574,797.50 = 1,574,797.50/x
  3. Step 3: Cross multiply
    734,913x = 1,574,797.50 × 1,574,797.50
  4. Step 4: Simplify right side
    734,913x = 2,479,987,166,006.25
  5. Step 5: Solve for x
    x = 2,479,987,166,006.25/734,913
  6. Step 6: Final answer
    x = 3,374,531.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.