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Finding the Third Proportional to 696,850 and 1,477,434

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Solution

The third proportional to 696,850 and 1,477,434 is: 3,132,397.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,850 : 1,477,434 = 1,477,434 : x
  2. Step 2: Convert to fraction form
    696,850/1,477,434 = 1,477,434/x
  3. Step 3: Cross multiply
    696,850x = 1,477,434 × 1,477,434
  4. Step 4: Simplify right side
    696,850x = 2,182,811,224,356
  5. Step 5: Solve for x
    x = 2,182,811,224,356/696,850
  6. Step 6: Final answer
    x = 3,132,397.54

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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.