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Finding the Third Proportional to 876,089.25 and 1,280,873.25

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Solution

The third proportional to 876,089.25 and 1,280,873.25 is: 1,872,681.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,089.25 : 1,280,873.25 = 1,280,873.25 : x
  2. Step 2: Convert to fraction form
    876,089.25/1,280,873.25 = 1,280,873.25/x
  3. Step 3: Cross multiply
    876,089.25x = 1,280,873.25 × 1,280,873.25
  4. Step 4: Simplify right side
    876,089.25x = 1,640,636,282,565.56
  5. Step 5: Solve for x
    x = 1,640,636,282,565.56/876,089.25
  6. Step 6: Final answer
    x = 1,872,681.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.