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Finding the Third Proportional to 1,213,323.68 and 1,931,571.98

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Solution

The third proportional to 1,213,323.68 and 1,931,571.98 is: 3,075,000.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,323.68 : 1,931,571.98 = 1,931,571.98 : x
  2. Step 2: Convert to fraction form
    1,213,323.68/1,931,571.98 = 1,931,571.98/x
  3. Step 3: Cross multiply
    1,213,323.68x = 1,931,571.98 × 1,931,571.98
  4. Step 4: Simplify right side
    1,213,323.68x = 3,730,970,330,822.38
  5. Step 5: Solve for x
    x = 3,730,970,330,822.38/1,213,323.68
  6. Step 6: Final answer
    x = 3,075,000.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.