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Finding the Third Proportional to 546,538 and 1,152,490

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Solution

The third proportional to 546,538 and 1,152,490 is: 2,430,266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,538 : 1,152,490 = 1,152,490 : x
  2. Step 2: Convert to fraction form
    546,538/1,152,490 = 1,152,490/x
  3. Step 3: Cross multiply
    546,538x = 1,152,490 × 1,152,490
  4. Step 4: Simplify right side
    546,538x = 1,328,233,200,100
  5. Step 5: Solve for x
    x = 1,328,233,200,100/546,538
  6. Step 6: Final answer
    x = 2,430,266.88

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Why These Related Problems?

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