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Finding the Third Proportional to 610,928 and 1,316,471

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Solution

The third proportional to 610,928 and 1,316,471 is: 2,836,825.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,928 : 1,316,471 = 1,316,471 : x
  2. Step 2: Convert to fraction form
    610,928/1,316,471 = 1,316,471/x
  3. Step 3: Cross multiply
    610,928x = 1,316,471 × 1,316,471
  4. Step 4: Simplify right side
    610,928x = 1,733,095,893,841
  5. Step 5: Solve for x
    x = 1,733,095,893,841/610,928
  6. Step 6: Final answer
    x = 2,836,825.11

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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.