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Finding the Third Proportional to 734,907.94 and 1,154,857.50

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Solution

The third proportional to 734,907.94 and 1,154,857.50 is: 1,814,779.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,907.94 : 1,154,857.50 = 1,154,857.50 : x
  2. Step 2: Convert to fraction form
    734,907.94/1,154,857.50 = 1,154,857.50/x
  3. Step 3: Cross multiply
    734,907.94x = 1,154,857.50 × 1,154,857.50
  4. Step 4: Simplify right side
    734,907.94x = 1,333,695,845,306.25
  5. Step 5: Solve for x
    x = 1,333,695,845,306.25/734,907.94
  6. Step 6: Final answer
    x = 1,814,779.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.