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Finding the Third Proportional to 610,423 and 1,325,928

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Solution

The third proportional to 610,423 and 1,325,928 is: 2,880,109.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,423 : 1,325,928 = 1,325,928 : x
  2. Step 2: Convert to fraction form
    610,423/1,325,928 = 1,325,928/x
  3. Step 3: Cross multiply
    610,423x = 1,325,928 × 1,325,928
  4. Step 4: Simplify right side
    610,423x = 1,758,085,061,184
  5. Step 5: Solve for x
    x = 1,758,085,061,184/610,423
  6. Step 6: Final answer
    x = 2,880,109.47

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