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Finding the Third Proportional to 1,565,779.50 and 3,434,157

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Solution

The third proportional to 1,565,779.50 and 3,434,157 is: 7,531,989.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565,779.50 : 3,434,157 = 3,434,157 : x
  2. Step 2: Convert to fraction form
    1,565,779.50/3,434,157 = 3,434,157/x
  3. Step 3: Cross multiply
    1,565,779.50x = 3,434,157 × 3,434,157
  4. Step 4: Simplify right side
    1,565,779.50x = 11,793,434,300,649
  5. Step 5: Solve for x
    x = 11,793,434,300,649/1,565,779.50
  6. Step 6: Final answer
    x = 7,531,989.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.