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Finding the Third Proportional to 648,496 and 1,035,982

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Solution

The third proportional to 648,496 and 1,035,982 is: 1,654,996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,496 : 1,035,982 = 1,035,982 : x
  2. Step 2: Convert to fraction form
    648,496/1,035,982 = 1,035,982/x
  3. Step 3: Cross multiply
    648,496x = 1,035,982 × 1,035,982
  4. Step 4: Simplify right side
    648,496x = 1,073,258,704,324
  5. Step 5: Solve for x
    x = 1,073,258,704,324/648,496
  6. Step 6: Final answer
    x = 1,654,996.65

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.