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Finding the Third Proportional to 633,507 and 1,366,037

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Solution

The third proportional to 633,507 and 1,366,037 is: 2,945,598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,507 : 1,366,037 = 1,366,037 : x
  2. Step 2: Convert to fraction form
    633,507/1,366,037 = 1,366,037/x
  3. Step 3: Cross multiply
    633,507x = 1,366,037 × 1,366,037
  4. Step 4: Simplify right side
    633,507x = 1,866,057,085,369
  5. Step 5: Solve for x
    x = 1,866,057,085,369/633,507
  6. Step 6: Final answer
    x = 2,945,598.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.