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Finding the Third Proportional to 948,782 and 1,477,605

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Solution

The third proportional to 948,782 and 1,477,605 is: 2,301,178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,782 : 1,477,605 = 1,477,605 : x
  2. Step 2: Convert to fraction form
    948,782/1,477,605 = 1,477,605/x
  3. Step 3: Cross multiply
    948,782x = 1,477,605 × 1,477,605
  4. Step 4: Simplify right side
    948,782x = 2,183,316,536,025
  5. Step 5: Solve for x
    x = 2,183,316,536,025/948,782
  6. Step 6: Final answer
    x = 2,301,178.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.