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Finding the Third Proportional to 929,594 and 1,970,806

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Solution

The third proportional to 929,594 and 1,970,806 is: 4,178,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,594 : 1,970,806 = 1,970,806 : x
  2. Step 2: Convert to fraction form
    929,594/1,970,806 = 1,970,806/x
  3. Step 3: Cross multiply
    929,594x = 1,970,806 × 1,970,806
  4. Step 4: Simplify right side
    929,594x = 3,884,076,289,636
  5. Step 5: Solve for x
    x = 3,884,076,289,636/929,594
  6. Step 6: Final answer
    x = 4,178,250.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.