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Finding the Third Proportional to 976,860 and 1,502,393.06

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Solution

The third proportional to 976,860 and 1,502,393.06 is: 2,310,653.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,860 : 1,502,393.06 = 1,502,393.06 : x
  2. Step 2: Convert to fraction form
    976,860/1,502,393.06 = 1,502,393.06/x
  3. Step 3: Cross multiply
    976,860x = 1,502,393.06 × 1,502,393.06
  4. Step 4: Simplify right side
    976,860x = 2,257,184,914,248.13
  5. Step 5: Solve for x
    x = 2,257,184,914,248.13/976,860
  6. Step 6: Final answer
    x = 2,310,653.43

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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.