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Finding the Third Proportional to 696,874 and 1,477,482

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Solution

The third proportional to 696,874 and 1,477,482 is: 3,132,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,874 : 1,477,482 = 1,477,482 : x
  2. Step 2: Convert to fraction form
    696,874/1,477,482 = 1,477,482/x
  3. Step 3: Cross multiply
    696,874x = 1,477,482 × 1,477,482
  4. Step 4: Simplify right side
    696,874x = 2,182,953,060,324
  5. Step 5: Solve for x
    x = 2,182,953,060,324/696,874
  6. Step 6: Final answer
    x = 3,132,493.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.