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Finding the Third Proportional to 1,076,881.50 and 1,667,246.63

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Solution

The third proportional to 1,076,881.50 and 1,667,246.63 is: 2,581,260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,881.50 : 1,667,246.63 = 1,667,246.63 : x
  2. Step 2: Convert to fraction form
    1,076,881.50/1,667,246.63 = 1,667,246.63/x
  3. Step 3: Cross multiply
    1,076,881.50x = 1,667,246.63 × 1,667,246.63
  4. Step 4: Simplify right side
    1,076,881.50x = 2,779,711,308,573.89
  5. Step 5: Solve for x
    x = 2,779,711,308,573.89/1,076,881.50
  6. Step 6: Final answer
    x = 2,581,260.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.