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Finding the Third Proportional to 501,128 and 1,092,706

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Solution

The third proportional to 501,128 and 1,092,706 is: 2,382,637.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,128 : 1,092,706 = 1,092,706 : x
  2. Step 2: Convert to fraction form
    501,128/1,092,706 = 1,092,706/x
  3. Step 3: Cross multiply
    501,128x = 1,092,706 × 1,092,706
  4. Step 4: Simplify right side
    501,128x = 1,194,006,402,436
  5. Step 5: Solve for x
    x = 1,194,006,402,436/501,128
  6. Step 6: Final answer
    x = 2,382,637.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.