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Finding the Third Proportional to 714,248 and 1,080,588

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Solution

The third proportional to 714,248 and 1,080,588 is: 1,634,824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,248 : 1,080,588 = 1,080,588 : x
  2. Step 2: Convert to fraction form
    714,248/1,080,588 = 1,080,588/x
  3. Step 3: Cross multiply
    714,248x = 1,080,588 × 1,080,588
  4. Step 4: Simplify right side
    714,248x = 1,167,670,425,744
  5. Step 5: Solve for x
    x = 1,167,670,425,744/714,248
  6. Step 6: Final answer
    x = 1,634,824.91

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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.