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Finding the Third Proportional to 852,381 and 1,294,124

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Solution

The third proportional to 852,381 and 1,294,124 is: 1,964,798.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,381 : 1,294,124 = 1,294,124 : x
  2. Step 2: Convert to fraction form
    852,381/1,294,124 = 1,294,124/x
  3. Step 3: Cross multiply
    852,381x = 1,294,124 × 1,294,124
  4. Step 4: Simplify right side
    852,381x = 1,674,756,927,376
  5. Step 5: Solve for x
    x = 1,674,756,927,376/852,381
  6. Step 6: Final answer
    x = 1,964,798.52

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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.