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Finding the Third Proportional to 756,069.75 and 1,197,784.88

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Solution

The third proportional to 756,069.75 and 1,197,784.88 is: 1,897,561.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,069.75 : 1,197,784.88 = 1,197,784.88 : x
  2. Step 2: Convert to fraction form
    756,069.75/1,197,784.88 = 1,197,784.88/x
  3. Step 3: Cross multiply
    756,069.75x = 1,197,784.88 × 1,197,784.88
  4. Step 4: Simplify right side
    756,069.75x = 1,434,688,606,778.77
  5. Step 5: Solve for x
    x = 1,434,688,606,778.77/756,069.75
  6. Step 6: Final answer
    x = 1,897,561.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.