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Finding the Third Proportional to 1,457,651 and 2,286,417

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Solution

The third proportional to 1,457,651 and 2,286,417 is: 3,586,388.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457,651 : 2,286,417 = 2,286,417 : x
  2. Step 2: Convert to fraction form
    1,457,651/2,286,417 = 2,286,417/x
  3. Step 3: Cross multiply
    1,457,651x = 2,286,417 × 2,286,417
  4. Step 4: Simplify right side
    1,457,651x = 5,227,702,697,889
  5. Step 5: Solve for x
    x = 5,227,702,697,889/1,457,651
  6. Step 6: Final answer
    x = 3,586,388.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.