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Finding the Third Proportional to 946,656 and 1,429,632

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Solution

The third proportional to 946,656 and 1,429,632 is: 2,159,018.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,656 : 1,429,632 = 1,429,632 : x
  2. Step 2: Convert to fraction form
    946,656/1,429,632 = 1,429,632/x
  3. Step 3: Cross multiply
    946,656x = 1,429,632 × 1,429,632
  4. Step 4: Simplify right side
    946,656x = 2,043,847,655,424
  5. Step 5: Solve for x
    x = 2,043,847,655,424/946,656
  6. Step 6: Final answer
    x = 2,159,018.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.