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Finding the Third Proportional to 610,926 and 1,316,467

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Solution

The third proportional to 610,926 and 1,316,467 is: 2,836,817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,926 : 1,316,467 = 1,316,467 : x
  2. Step 2: Convert to fraction form
    610,926/1,316,467 = 1,316,467/x
  3. Step 3: Cross multiply
    610,926x = 1,316,467 × 1,316,467
  4. Step 4: Simplify right side
    610,926x = 1,733,085,362,089
  5. Step 5: Solve for x
    x = 1,733,085,362,089/610,926
  6. Step 6: Final answer
    x = 2,836,817.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.