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Finding the Third Proportional to 1,767,341.25 and 2,702,412

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Solution

The third proportional to 1,767,341.25 and 2,702,412 is: 4,132,213.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767,341.25 : 2,702,412 = 2,702,412 : x
  2. Step 2: Convert to fraction form
    1,767,341.25/2,702,412 = 2,702,412/x
  3. Step 3: Cross multiply
    1,767,341.25x = 2,702,412 × 2,702,412
  4. Step 4: Simplify right side
    1,767,341.25x = 7,303,030,617,744
  5. Step 5: Solve for x
    x = 7,303,030,617,744/1,767,341.25
  6. Step 6: Final answer
    x = 4,132,213.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.