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Finding the Third Proportional to 1,934,176.50 and 4,549,673.25

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Solution

The third proportional to 1,934,176.50 and 4,549,673.25 is: 10,701,984.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934,176.50 : 4,549,673.25 = 4,549,673.25 : x
  2. Step 2: Convert to fraction form
    1,934,176.50/4,549,673.25 = 4,549,673.25/x
  3. Step 3: Cross multiply
    1,934,176.50x = 4,549,673.25 × 4,549,673.25
  4. Step 4: Simplify right side
    1,934,176.50x = 20,699,526,681,765.56
  5. Step 5: Solve for x
    x = 20,699,526,681,765.56/1,934,176.50
  6. Step 6: Final answer
    x = 10,701,984.38

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.