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Finding the Third Proportional to 696,856 and 1,477,445

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Solution

The third proportional to 696,856 and 1,477,445 is: 3,132,417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,856 : 1,477,445 = 1,477,445 : x
  2. Step 2: Convert to fraction form
    696,856/1,477,445 = 1,477,445/x
  3. Step 3: Cross multiply
    696,856x = 1,477,445 × 1,477,445
  4. Step 4: Simplify right side
    696,856x = 2,182,843,728,025
  5. Step 5: Solve for x
    x = 2,182,843,728,025/696,856
  6. Step 6: Final answer
    x = 3,132,417.21

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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.