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Finding the Third Proportional to 714,779.25 and 1,569,525.75

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Solution

The third proportional to 714,779.25 and 1,569,525.75 is: 3,446,394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,779.25 : 1,569,525.75 = 1,569,525.75 : x
  2. Step 2: Convert to fraction form
    714,779.25/1,569,525.75 = 1,569,525.75/x
  3. Step 3: Cross multiply
    714,779.25x = 1,569,525.75 × 1,569,525.75
  4. Step 4: Simplify right side
    714,779.25x = 2,463,411,079,913.06
  5. Step 5: Solve for x
    x = 2,463,411,079,913.06/714,779.25
  6. Step 6: Final answer
    x = 3,446,394.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.