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Finding the Third Proportional to 574,645 and 1,165,706

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Solution

The third proportional to 574,645 and 1,165,706 is: 2,364,712.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,645 : 1,165,706 = 1,165,706 : x
  2. Step 2: Convert to fraction form
    574,645/1,165,706 = 1,165,706/x
  3. Step 3: Cross multiply
    574,645x = 1,165,706 × 1,165,706
  4. Step 4: Simplify right side
    574,645x = 1,358,870,478,436
  5. Step 5: Solve for x
    x = 1,358,870,478,436/574,645
  6. Step 6: Final answer
    x = 2,364,712.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.