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Finding the Third Proportional to 537,576 and 1,154,845.50

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Solution

The third proportional to 537,576 and 1,154,845.50 is: 2,480,892.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,576 : 1,154,845.50 = 1,154,845.50 : x
  2. Step 2: Convert to fraction form
    537,576/1,154,845.50 = 1,154,845.50/x
  3. Step 3: Cross multiply
    537,576x = 1,154,845.50 × 1,154,845.50
  4. Step 4: Simplify right side
    537,576x = 1,333,668,128,870.25
  5. Step 5: Solve for x
    x = 1,333,668,128,870.25/537,576
  6. Step 6: Final answer
    x = 2,480,892.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.