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Finding the Third Proportional to 1,142,580.94 and 1,736,310.94

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Solution

The third proportional to 1,142,580.94 and 1,736,310.94 is: 2,638,566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,580.94 : 1,736,310.94 = 1,736,310.94 : x
  2. Step 2: Convert to fraction form
    1,142,580.94/1,736,310.94 = 1,736,310.94/x
  3. Step 3: Cross multiply
    1,142,580.94x = 1,736,310.94 × 1,736,310.94
  4. Step 4: Simplify right side
    1,142,580.94x = 3,014,775,671,682.13
  5. Step 5: Solve for x
    x = 3,014,775,671,682.13/1,142,580.94
  6. Step 6: Final answer
    x = 2,638,566.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.