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Finding the Third Proportional to 691,264.13 and 1,503,856.13

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Solution

The third proportional to 691,264.13 and 1,503,856.13 is: 3,271,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,264.13 : 1,503,856.13 = 1,503,856.13 : x
  2. Step 2: Convert to fraction form
    691,264.13/1,503,856.13 = 1,503,856.13/x
  3. Step 3: Cross multiply
    691,264.13x = 1,503,856.13 × 1,503,856.13
  4. Step 4: Simplify right side
    691,264.13x = 2,261,583,244,700.02
  5. Step 5: Solve for x
    x = 2,261,583,244,700.02/691,264.13
  6. Step 6: Final answer
    x = 3,271,662.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.