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Finding the Third Proportional to 784,318 and 1,104,468

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Solution

The third proportional to 784,318 and 1,104,468 is: 1,555,299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,318 : 1,104,468 = 1,104,468 : x
  2. Step 2: Convert to fraction form
    784,318/1,104,468 = 1,104,468/x
  3. Step 3: Cross multiply
    784,318x = 1,104,468 × 1,104,468
  4. Step 4: Simplify right side
    784,318x = 1,219,849,563,024
  5. Step 5: Solve for x
    x = 1,219,849,563,024/784,318
  6. Step 6: Final answer
    x = 1,555,299.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.