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Finding the Third Proportional to 657,290 and 1,414,210

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Solution

The third proportional to 657,290 and 1,414,210 is: 3,042,781.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,290 : 1,414,210 = 1,414,210 : x
  2. Step 2: Convert to fraction form
    657,290/1,414,210 = 1,414,210/x
  3. Step 3: Cross multiply
    657,290x = 1,414,210 × 1,414,210
  4. Step 4: Simplify right side
    657,290x = 1,999,989,924,100
  5. Step 5: Solve for x
    x = 1,999,989,924,100/657,290
  6. Step 6: Final answer
    x = 3,042,781.61

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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.