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Finding the Third Proportional to 666,309 and 1,030,608

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Solution

The third proportional to 666,309 and 1,030,608 is: 1,594,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,309 : 1,030,608 = 1,030,608 : x
  2. Step 2: Convert to fraction form
    666,309/1,030,608 = 1,030,608/x
  3. Step 3: Cross multiply
    666,309x = 1,030,608 × 1,030,608
  4. Step 4: Simplify right side
    666,309x = 1,062,152,849,664
  5. Step 5: Solve for x
    x = 1,062,152,849,664/666,309
  6. Step 6: Final answer
    x = 1,594,084.50

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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.