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Finding the Third Proportional to 569,448 and 1,202,926.50

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Solution

The third proportional to 569,448 and 1,202,926.50 is: 2,541,113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,448 : 1,202,926.50 = 1,202,926.50 : x
  2. Step 2: Convert to fraction form
    569,448/1,202,926.50 = 1,202,926.50/x
  3. Step 3: Cross multiply
    569,448x = 1,202,926.50 × 1,202,926.50
  4. Step 4: Simplify right side
    569,448x = 1,447,032,164,402.25
  5. Step 5: Solve for x
    x = 1,447,032,164,402.25/569,448
  6. Step 6: Final answer
    x = 2,541,113.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.