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Finding the Third Proportional to 946,448 and 1,430,960

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Solution

The third proportional to 946,448 and 1,430,960 is: 2,163,506.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,448 : 1,430,960 = 1,430,960 : x
  2. Step 2: Convert to fraction form
    946,448/1,430,960 = 1,430,960/x
  3. Step 3: Cross multiply
    946,448x = 1,430,960 × 1,430,960
  4. Step 4: Simplify right side
    946,448x = 2,047,646,521,600
  5. Step 5: Solve for x
    x = 2,047,646,521,600/946,448
  6. Step 6: Final answer
    x = 2,163,506.63

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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.