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Finding the Third Proportional to 509,071 and 1,053,373

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Solution

The third proportional to 509,071 and 1,053,373 is: 2,179,646.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,071 : 1,053,373 = 1,053,373 : x
  2. Step 2: Convert to fraction form
    509,071/1,053,373 = 1,053,373/x
  3. Step 3: Cross multiply
    509,071x = 1,053,373 × 1,053,373
  4. Step 4: Simplify right side
    509,071x = 1,109,594,677,129
  5. Step 5: Solve for x
    x = 1,109,594,677,129/509,071
  6. Step 6: Final answer
    x = 2,179,646.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.