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Finding the Third Proportional to 653,854.50 and 1,440,364.50

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Solution

The third proportional to 653,854.50 and 1,440,364.50 is: 3,172,953.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,854.50 : 1,440,364.50 = 1,440,364.50 : x
  2. Step 2: Convert to fraction form
    653,854.50/1,440,364.50 = 1,440,364.50/x
  3. Step 3: Cross multiply
    653,854.50x = 1,440,364.50 × 1,440,364.50
  4. Step 4: Simplify right side
    653,854.50x = 2,074,649,892,860.25
  5. Step 5: Solve for x
    x = 2,074,649,892,860.25/653,854.50
  6. Step 6: Final answer
    x = 3,172,953.45

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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.