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Finding the Third Proportional to 947,226 and 2,029,560

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Solution

The third proportional to 947,226 and 2,029,560 is: 4,348,607.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,226 : 2,029,560 = 2,029,560 : x
  2. Step 2: Convert to fraction form
    947,226/2,029,560 = 2,029,560/x
  3. Step 3: Cross multiply
    947,226x = 2,029,560 × 2,029,560
  4. Step 4: Simplify right side
    947,226x = 4,119,113,793,600
  5. Step 5: Solve for x
    x = 4,119,113,793,600/947,226
  6. Step 6: Final answer
    x = 4,348,607.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.