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Finding the Third Proportional to 473,822 and 1,036,214

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Solution

The third proportional to 473,822 and 1,036,214 is: 2,266,124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,822 : 1,036,214 = 1,036,214 : x
  2. Step 2: Convert to fraction form
    473,822/1,036,214 = 1,036,214/x
  3. Step 3: Cross multiply
    473,822x = 1,036,214 × 1,036,214
  4. Step 4: Simplify right side
    473,822x = 1,073,739,453,796
  5. Step 5: Solve for x
    x = 1,073,739,453,796/473,822
  6. Step 6: Final answer
    x = 2,266,124.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.