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Finding the Third Proportional to 1,577,923.50 and 2,232,748.50

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Solution

The third proportional to 1,577,923.50 and 2,232,748.50 is: 3,159,320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,923.50 : 2,232,748.50 = 2,232,748.50 : x
  2. Step 2: Convert to fraction form
    1,577,923.50/2,232,748.50 = 2,232,748.50/x
  3. Step 3: Cross multiply
    1,577,923.50x = 2,232,748.50 × 2,232,748.50
  4. Step 4: Simplify right side
    1,577,923.50x = 4,985,165,864,252.25
  5. Step 5: Solve for x
    x = 4,985,165,864,252.25/1,577,923.50
  6. Step 6: Final answer
    x = 3,159,320.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.