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Finding the Third Proportional to 706,737 and 1,533,921

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Solution

The third proportional to 706,737 and 1,533,921 is: 3,329,263.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,737 : 1,533,921 = 1,533,921 : x
  2. Step 2: Convert to fraction form
    706,737/1,533,921 = 1,533,921/x
  3. Step 3: Cross multiply
    706,737x = 1,533,921 × 1,533,921
  4. Step 4: Simplify right side
    706,737x = 2,352,913,634,241
  5. Step 5: Solve for x
    x = 2,352,913,634,241/706,737
  6. Step 6: Final answer
    x = 3,329,263.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.