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Finding the Third Proportional to 922,032 and 1,423,944

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Solution

The third proportional to 922,032 and 1,423,944 is: 2,199,073.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,032 : 1,423,944 = 1,423,944 : x
  2. Step 2: Convert to fraction form
    922,032/1,423,944 = 1,423,944/x
  3. Step 3: Cross multiply
    922,032x = 1,423,944 × 1,423,944
  4. Step 4: Simplify right side
    922,032x = 2,027,616,515,136
  5. Step 5: Solve for x
    x = 2,027,616,515,136/922,032
  6. Step 6: Final answer
    x = 2,199,073.91

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.