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Finding the Third Proportional to 652,314 and 1,433,254.50

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Solution

The third proportional to 652,314 and 1,433,254.50 is: 3,149,125.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,314 : 1,433,254.50 = 1,433,254.50 : x
  2. Step 2: Convert to fraction form
    652,314/1,433,254.50 = 1,433,254.50/x
  3. Step 3: Cross multiply
    652,314x = 1,433,254.50 × 1,433,254.50
  4. Step 4: Simplify right side
    652,314x = 2,054,218,461,770.25
  5. Step 5: Solve for x
    x = 2,054,218,461,770.25/652,314
  6. Step 6: Final answer
    x = 3,149,125.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.