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Finding the Third Proportional to 664,564 and 1,030,948

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Solution

The third proportional to 664,564 and 1,030,948 is: 1,599,324.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,564 : 1,030,948 = 1,030,948 : x
  2. Step 2: Convert to fraction form
    664,564/1,030,948 = 1,030,948/x
  3. Step 3: Cross multiply
    664,564x = 1,030,948 × 1,030,948
  4. Step 4: Simplify right side
    664,564x = 1,062,853,778,704
  5. Step 5: Solve for x
    x = 1,062,853,778,704/664,564
  6. Step 6: Final answer
    x = 1,599,324.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.