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Finding the Third Proportional to 610,431 and 1,325,943

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Solution

The third proportional to 610,431 and 1,325,943 is: 2,880,136.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,431 : 1,325,943 = 1,325,943 : x
  2. Step 2: Convert to fraction form
    610,431/1,325,943 = 1,325,943/x
  3. Step 3: Cross multiply
    610,431x = 1,325,943 × 1,325,943
  4. Step 4: Simplify right side
    610,431x = 1,758,124,839,249
  5. Step 5: Solve for x
    x = 1,758,124,839,249/610,431
  6. Step 6: Final answer
    x = 2,880,136.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.