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Finding the Third Proportional to 502,706 and 1,077,374

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Solution

The third proportional to 502,706 and 1,077,374 is: 2,308,973.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,706 : 1,077,374 = 1,077,374 : x
  2. Step 2: Convert to fraction form
    502,706/1,077,374 = 1,077,374/x
  3. Step 3: Cross multiply
    502,706x = 1,077,374 × 1,077,374
  4. Step 4: Simplify right side
    502,706x = 1,160,734,735,876
  5. Step 5: Solve for x
    x = 1,160,734,735,876/502,706
  6. Step 6: Final answer
    x = 2,308,973.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.