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Finding the Third Proportional to 654,518.25 and 1,010,952

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Solution

The third proportional to 654,518.25 and 1,010,952 is: 1,561,490.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,518.25 : 1,010,952 = 1,010,952 : x
  2. Step 2: Convert to fraction form
    654,518.25/1,010,952 = 1,010,952/x
  3. Step 3: Cross multiply
    654,518.25x = 1,010,952 × 1,010,952
  4. Step 4: Simplify right side
    654,518.25x = 1,022,023,946,304
  5. Step 5: Solve for x
    x = 1,022,023,946,304/654,518.25
  6. Step 6: Final answer
    x = 1,561,490.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.