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Finding the Third Proportional to 1,537,525.13 and 3,364,659

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Solution

The third proportional to 1,537,525.13 and 3,364,659 is: 7,363,086.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,525.13 : 3,364,659 = 3,364,659 : x
  2. Step 2: Convert to fraction form
    1,537,525.13/3,364,659 = 3,364,659/x
  3. Step 3: Cross multiply
    1,537,525.13x = 3,364,659 × 3,364,659
  4. Step 4: Simplify right side
    1,537,525.13x = 11,320,930,186,281
  5. Step 5: Solve for x
    x = 11,320,930,186,281/1,537,525.13
  6. Step 6: Final answer
    x = 7,363,086.30

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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.