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Finding the Third Proportional to 696,856 and 1,477,444

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Solution

The third proportional to 696,856 and 1,477,444 is: 3,132,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,856 : 1,477,444 = 1,477,444 : x
  2. Step 2: Convert to fraction form
    696,856/1,477,444 = 1,477,444/x
  3. Step 3: Cross multiply
    696,856x = 1,477,444 × 1,477,444
  4. Step 4: Simplify right side
    696,856x = 2,182,840,773,136
  5. Step 5: Solve for x
    x = 2,182,840,773,136/696,856
  6. Step 6: Final answer
    x = 3,132,412.97

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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.