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Finding the Third Proportional to 947,744 and 2,237,312

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Solution

The third proportional to 947,744 and 2,237,312 is: 5,281,558.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,744 : 2,237,312 = 2,237,312 : x
  2. Step 2: Convert to fraction form
    947,744/2,237,312 = 2,237,312/x
  3. Step 3: Cross multiply
    947,744x = 2,237,312 × 2,237,312
  4. Step 4: Simplify right side
    947,744x = 5,005,564,985,344
  5. Step 5: Solve for x
    x = 5,005,564,985,344/947,744
  6. Step 6: Final answer
    x = 5,281,558.08

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