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Finding the Third Proportional to 2,173,506 and 4,766,916

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Solution

The third proportional to 2,173,506 and 4,766,916 is: 10,454,762.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173,506 : 4,766,916 = 4,766,916 : x
  2. Step 2: Convert to fraction form
    2,173,506/4,766,916 = 4,766,916/x
  3. Step 3: Cross multiply
    2,173,506x = 4,766,916 × 4,766,916
  4. Step 4: Simplify right side
    2,173,506x = 22,723,488,151,056
  5. Step 5: Solve for x
    x = 22,723,488,151,056/2,173,506
  6. Step 6: Final answer
    x = 10,454,762.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.