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Finding the Third Proportional to 781,123.50 and 1,180,068.75

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Solution

The third proportional to 781,123.50 and 1,180,068.75 is: 1,782,768.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,123.50 : 1,180,068.75 = 1,180,068.75 : x
  2. Step 2: Convert to fraction form
    781,123.50/1,180,068.75 = 1,180,068.75/x
  3. Step 3: Cross multiply
    781,123.50x = 1,180,068.75 × 1,180,068.75
  4. Step 4: Simplify right side
    781,123.50x = 1,392,562,254,726.56
  5. Step 5: Solve for x
    x = 1,392,562,254,726.56/781,123.50
  6. Step 6: Final answer
    x = 1,782,768.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.