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Finding the Third Proportional to 894,952 and 1,300,162

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Solution

The third proportional to 894,952 and 1,300,162 is: 1,888,840.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,952 : 1,300,162 = 1,300,162 : x
  2. Step 2: Convert to fraction form
    894,952/1,300,162 = 1,300,162/x
  3. Step 3: Cross multiply
    894,952x = 1,300,162 × 1,300,162
  4. Step 4: Simplify right side
    894,952x = 1,690,421,226,244
  5. Step 5: Solve for x
    x = 1,690,421,226,244/894,952
  6. Step 6: Final answer
    x = 1,888,840.10

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.