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Finding the Third Proportional to 546,264 and 1,114,209

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Solution

The third proportional to 546,264 and 1,114,209 is: 2,272,640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,264 : 1,114,209 = 1,114,209 : x
  2. Step 2: Convert to fraction form
    546,264/1,114,209 = 1,114,209/x
  3. Step 3: Cross multiply
    546,264x = 1,114,209 × 1,114,209
  4. Step 4: Simplify right side
    546,264x = 1,241,461,695,681
  5. Step 5: Solve for x
    x = 1,241,461,695,681/546,264
  6. Step 6: Final answer
    x = 2,272,640.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.