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Finding the Third Proportional to 976,868 and 1,502,406

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Solution

The third proportional to 976,868 and 1,502,406 is: 2,310,674.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,868 : 1,502,406 = 1,502,406 : x
  2. Step 2: Convert to fraction form
    976,868/1,502,406 = 1,502,406/x
  3. Step 3: Cross multiply
    976,868x = 1,502,406 × 1,502,406
  4. Step 4: Simplify right side
    976,868x = 2,257,223,788,836
  5. Step 5: Solve for x
    x = 2,257,223,788,836/976,868
  6. Step 6: Final answer
    x = 2,310,674.31

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