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Finding the Third Proportional to 947,577 and 2,072,304

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Solution

The third proportional to 947,577 and 2,072,304 is: 4,532,026.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,577 : 2,072,304 = 2,072,304 : x
  2. Step 2: Convert to fraction form
    947,577/2,072,304 = 2,072,304/x
  3. Step 3: Cross multiply
    947,577x = 2,072,304 × 2,072,304
  4. Step 4: Simplify right side
    947,577x = 4,294,443,868,416
  5. Step 5: Solve for x
    x = 4,294,443,868,416/947,577
  6. Step 6: Final answer
    x = 4,532,026.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.