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Finding the Third Proportional to 683,368 and 1,041,900

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Solution

The third proportional to 683,368 and 1,041,900 is: 1,588,537.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,368 : 1,041,900 = 1,041,900 : x
  2. Step 2: Convert to fraction form
    683,368/1,041,900 = 1,041,900/x
  3. Step 3: Cross multiply
    683,368x = 1,041,900 × 1,041,900
  4. Step 4: Simplify right side
    683,368x = 1,085,555,610,000
  5. Step 5: Solve for x
    x = 1,085,555,610,000/683,368
  6. Step 6: Final answer
    x = 1,588,537.38

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.