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Finding the Third Proportional to 543,432,897 and 1,148,203,394

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Solution

The third proportional to 543,432,897 and 1,148,203,394 is: 2,426,005,200.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,432,897 : 1,148,203,394 = 1,148,203,394 : x
  2. Step 2: Convert to fraction form
    543,432,897/1,148,203,394 = 1,148,203,394/x
  3. Step 3: Cross multiply
    543,432,897x = 1,148,203,394 × 1,148,203,394
  4. Step 4: Simplify right side
    543,432,897x = 1,318,371,033,993,119,232
  5. Step 5: Solve for x
    x = 1,318,371,033,993,119,232/543,432,897
  6. Step 6: Final answer
    x = 2,426,005,200.04

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.