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Finding the Third Proportional to 696,852 and 1,477,437

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Solution

The third proportional to 696,852 and 1,477,437 is: 3,132,401.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,852 : 1,477,437 = 1,477,437 : x
  2. Step 2: Convert to fraction form
    696,852/1,477,437 = 1,477,437/x
  3. Step 3: Cross multiply
    696,852x = 1,477,437 × 1,477,437
  4. Step 4: Simplify right side
    696,852x = 2,182,820,088,969
  5. Step 5: Solve for x
    x = 2,182,820,088,969/696,852
  6. Step 6: Final answer
    x = 3,132,401.27

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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.