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Finding the Third Proportional to 473,424 and 1,029,792

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Solution

The third proportional to 473,424 and 1,029,792 is: 2,240,003.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,424 : 1,029,792 = 1,029,792 : x
  2. Step 2: Convert to fraction form
    473,424/1,029,792 = 1,029,792/x
  3. Step 3: Cross multiply
    473,424x = 1,029,792 × 1,029,792
  4. Step 4: Simplify right side
    473,424x = 1,060,471,563,264
  5. Step 5: Solve for x
    x = 1,060,471,563,264/473,424
  6. Step 6: Final answer
    x = 2,240,003.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.