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Finding the Third Proportional to 619,899.75 and 957,484.13

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Solution

The third proportional to 619,899.75 and 957,484.13 is: 1,478,909.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,899.75 : 957,484.13 = 957,484.13 : x
  2. Step 2: Convert to fraction form
    619,899.75/957,484.13 = 957,484.13/x
  3. Step 3: Cross multiply
    619,899.75x = 957,484.13 × 957,484.13
  4. Step 4: Simplify right side
    619,899.75x = 916,775,849,627.02
  5. Step 5: Solve for x
    x = 916,775,849,627.02/619,899.75
  6. Step 6: Final answer
    x = 1,478,909.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.