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Finding the Third Proportional to 930,884 and 1,447,345.50

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Solution

The third proportional to 930,884 and 1,447,345.50 is: 2,250,343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,884 : 1,447,345.50 = 1,447,345.50 : x
  2. Step 2: Convert to fraction form
    930,884/1,447,345.50 = 1,447,345.50/x
  3. Step 3: Cross multiply
    930,884x = 1,447,345.50 × 1,447,345.50
  4. Step 4: Simplify right side
    930,884x = 2,094,808,996,370.25
  5. Step 5: Solve for x
    x = 2,094,808,996,370.25/930,884
  6. Step 6: Final answer
    x = 2,250,343.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.