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Finding the Third Proportional to 473,300 and 1,013,098

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Solution

The third proportional to 473,300 and 1,013,098 is: 2,168,534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,300 : 1,013,098 = 1,013,098 : x
  2. Step 2: Convert to fraction form
    473,300/1,013,098 = 1,013,098/x
  3. Step 3: Cross multiply
    473,300x = 1,013,098 × 1,013,098
  4. Step 4: Simplify right side
    473,300x = 1,026,367,557,604
  5. Step 5: Solve for x
    x = 1,026,367,557,604/473,300
  6. Step 6: Final answer
    x = 2,168,534.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.