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Finding the Third Proportional to 947,688 and 2,237,169

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Solution

The third proportional to 947,688 and 2,237,169 is: 5,281,195.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,688 : 2,237,169 = 2,237,169 : x
  2. Step 2: Convert to fraction form
    947,688/2,237,169 = 2,237,169/x
  3. Step 3: Cross multiply
    947,688x = 2,237,169 × 2,237,169
  4. Step 4: Simplify right side
    947,688x = 5,004,925,134,561
  5. Step 5: Solve for x
    x = 5,004,925,134,561/947,688
  6. Step 6: Final answer
    x = 5,281,195.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.