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Finding the Third Proportional to 947,905 and 2,029,216

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Solution

The third proportional to 947,905 and 2,029,216 is: 4,344,019.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,905 : 2,029,216 = 2,029,216 : x
  2. Step 2: Convert to fraction form
    947,905/2,029,216 = 2,029,216/x
  3. Step 3: Cross multiply
    947,905x = 2,029,216 × 2,029,216
  4. Step 4: Simplify right side
    947,905x = 4,117,717,574,656
  5. Step 5: Solve for x
    x = 4,117,717,574,656/947,905
  6. Step 6: Final answer
    x = 4,344,019.26

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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.