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Finding the Third Proportional to 475,470 and 972,799.88

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Solution

The third proportional to 475,470 and 972,799.88 is: 1,990,324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,470 : 972,799.88 = 972,799.88 : x
  2. Step 2: Convert to fraction form
    475,470/972,799.88 = 972,799.88/x
  3. Step 3: Cross multiply
    475,470x = 972,799.88 × 972,799.88
  4. Step 4: Simplify right side
    475,470x = 946,339,596,800.02
  5. Step 5: Solve for x
    x = 946,339,596,800.02/475,470
  6. Step 6: Final answer
    x = 1,990,324.51

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.