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Finding the Third Proportional to 461,249 and 1,013,307

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Solution

The third proportional to 461,249 and 1,013,307 is: 2,226,110.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,249 : 1,013,307 = 1,013,307 : x
  2. Step 2: Convert to fraction form
    461,249/1,013,307 = 1,013,307/x
  3. Step 3: Cross multiply
    461,249x = 1,013,307 × 1,013,307
  4. Step 4: Simplify right side
    461,249x = 1,026,791,076,249
  5. Step 5: Solve for x
    x = 1,026,791,076,249/461,249
  6. Step 6: Final answer
    x = 2,226,110.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.