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Finding the Third Proportional to 1,076,458.50 and 1,462,569.75

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Solution

The third proportional to 1,076,458.50 and 1,462,569.75 is: 1,987,173.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,458.50 : 1,462,569.75 = 1,462,569.75 : x
  2. Step 2: Convert to fraction form
    1,076,458.50/1,462,569.75 = 1,462,569.75/x
  3. Step 3: Cross multiply
    1,076,458.50x = 1,462,569.75 × 1,462,569.75
  4. Step 4: Simplify right side
    1,076,458.50x = 2,139,110,273,615.06
  5. Step 5: Solve for x
    x = 2,139,110,273,615.06/1,076,458.50
  6. Step 6: Final answer
    x = 1,987,173.94

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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.