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Finding the Third Proportional to 1,525,842.56 and 2,077,934.77

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Solution

The third proportional to 1,525,842.56 and 2,077,934.77 is: 2,829,789.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525,842.56 : 2,077,934.77 = 2,077,934.77 : x
  2. Step 2: Convert to fraction form
    1,525,842.56/2,077,934.77 = 2,077,934.77/x
  3. Step 3: Cross multiply
    1,525,842.56x = 2,077,934.77 × 2,077,934.77
  4. Step 4: Simplify right side
    1,525,842.56x = 4,317,812,890,193.02
  5. Step 5: Solve for x
    x = 4,317,812,890,193.02/1,525,842.56
  6. Step 6: Final answer
    x = 2,829,789.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.