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Finding the Third Proportional to 648,516 and 1,036,009

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Solution

The third proportional to 648,516 and 1,036,009 is: 1,655,031.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,516 : 1,036,009 = 1,036,009 : x
  2. Step 2: Convert to fraction form
    648,516/1,036,009 = 1,036,009/x
  3. Step 3: Cross multiply
    648,516x = 1,036,009 × 1,036,009
  4. Step 4: Simplify right side
    648,516x = 1,073,314,648,081
  5. Step 5: Solve for x
    x = 1,073,314,648,081/648,516
  6. Step 6: Final answer
    x = 1,655,031.87

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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.