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Finding the Third Proportional to 1,774,188.56 and 2,779,502.34

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Solution

The third proportional to 1,774,188.56 and 2,779,502.34 is: 4,354,460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774,188.56 : 2,779,502.34 = 2,779,502.34 : x
  2. Step 2: Convert to fraction form
    1,774,188.56/2,779,502.34 = 2,779,502.34/x
  3. Step 3: Cross multiply
    1,774,188.56x = 2,779,502.34 × 2,779,502.34
  4. Step 4: Simplify right side
    1,774,188.56x = 7,725,633,278,911.74
  5. Step 5: Solve for x
    x = 7,725,633,278,911.74/1,774,188.56
  6. Step 6: Final answer
    x = 4,354,460.09

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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.