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Finding the Third Proportional to 473,079 and 1,024,899

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Solution

The third proportional to 473,079 and 1,024,899 is: 2,220,385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,079 : 1,024,899 = 1,024,899 : x
  2. Step 2: Convert to fraction form
    473,079/1,024,899 = 1,024,899/x
  3. Step 3: Cross multiply
    473,079x = 1,024,899 × 1,024,899
  4. Step 4: Simplify right side
    473,079x = 1,050,417,960,201
  5. Step 5: Solve for x
    x = 1,050,417,960,201/473,079
  6. Step 6: Final answer
    x = 2,220,385.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.