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Finding the Third Proportional to 677,592 and 1,430,352

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Solution

The third proportional to 677,592 and 1,430,352 is: 3,019,378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,592 : 1,430,352 = 1,430,352 : x
  2. Step 2: Convert to fraction form
    677,592/1,430,352 = 1,430,352/x
  3. Step 3: Cross multiply
    677,592x = 1,430,352 × 1,430,352
  4. Step 4: Simplify right side
    677,592x = 2,045,906,843,904
  5. Step 5: Solve for x
    x = 2,045,906,843,904/677,592
  6. Step 6: Final answer
    x = 3,019,378.69

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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.