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Finding the Third Proportional to 461,312 and 1,013,504

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Solution

The third proportional to 461,312 and 1,013,504 is: 2,226,671.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,312 : 1,013,504 = 1,013,504 : x
  2. Step 2: Convert to fraction form
    461,312/1,013,504 = 1,013,504/x
  3. Step 3: Cross multiply
    461,312x = 1,013,504 × 1,013,504
  4. Step 4: Simplify right side
    461,312x = 1,027,190,358,016
  5. Step 5: Solve for x
    x = 1,027,190,358,016/461,312
  6. Step 6: Final answer
    x = 2,226,671.66

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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.