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Finding the Third Proportional to 572,644 and 1,293,764

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Solution

The third proportional to 572,644 and 1,293,764 is: 2,922,977.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,644 : 1,293,764 = 1,293,764 : x
  2. Step 2: Convert to fraction form
    572,644/1,293,764 = 1,293,764/x
  3. Step 3: Cross multiply
    572,644x = 1,293,764 × 1,293,764
  4. Step 4: Simplify right side
    572,644x = 1,673,825,287,696
  5. Step 5: Solve for x
    x = 1,673,825,287,696/572,644
  6. Step 6: Final answer
    x = 2,922,977.08

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.