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Finding the Third Proportional to 461,260 and 1,013,328

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Solution

The third proportional to 461,260 and 1,013,328 is: 2,226,149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,260 : 1,013,328 = 1,013,328 : x
  2. Step 2: Convert to fraction form
    461,260/1,013,328 = 1,013,328/x
  3. Step 3: Cross multiply
    461,260x = 1,013,328 × 1,013,328
  4. Step 4: Simplify right side
    461,260x = 1,026,833,635,584
  5. Step 5: Solve for x
    x = 1,026,833,635,584/461,260
  6. Step 6: Final answer
    x = 2,226,149.32

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