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Finding the Third Proportional to 733,904 and 1,087,248

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Solution

The third proportional to 733,904 and 1,087,248 is: 1,610,712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,904 : 1,087,248 = 1,087,248 : x
  2. Step 2: Convert to fraction form
    733,904/1,087,248 = 1,087,248/x
  3. Step 3: Cross multiply
    733,904x = 1,087,248 × 1,087,248
  4. Step 4: Simplify right side
    733,904x = 1,182,108,213,504
  5. Step 5: Solve for x
    x = 1,182,108,213,504/733,904
  6. Step 6: Final answer
    x = 1,610,712.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.