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Finding the Third Proportional to 971,248 and 1,463,352

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Solution

The third proportional to 971,248 and 1,463,352 is: 2,204,791.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,248 : 1,463,352 = 1,463,352 : x
  2. Step 2: Convert to fraction form
    971,248/1,463,352 = 1,463,352/x
  3. Step 3: Cross multiply
    971,248x = 1,463,352 × 1,463,352
  4. Step 4: Simplify right side
    971,248x = 2,141,399,075,904
  5. Step 5: Solve for x
    x = 2,141,399,075,904/971,248
  6. Step 6: Final answer
    x = 2,204,791.23

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Why These Related Problems?

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