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Finding the Third Proportional to 683,154 and 1,020,915

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Solution

The third proportional to 683,154 and 1,020,915 is: 1,525,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,154 : 1,020,915 = 1,020,915 : x
  2. Step 2: Convert to fraction form
    683,154/1,020,915 = 1,020,915/x
  3. Step 3: Cross multiply
    683,154x = 1,020,915 × 1,020,915
  4. Step 4: Simplify right side
    683,154x = 1,042,267,437,225
  5. Step 5: Solve for x
    x = 1,042,267,437,225/683,154
  6. Step 6: Final answer
    x = 1,525,669.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.