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Finding the Third Proportional to 610,272 and 887,706

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Solution

The third proportional to 610,272 and 887,706 is: 1,291,263.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,272 : 887,706 = 887,706 : x
  2. Step 2: Convert to fraction form
    610,272/887,706 = 887,706/x
  3. Step 3: Cross multiply
    610,272x = 887,706 × 887,706
  4. Step 4: Simplify right side
    610,272x = 788,021,942,436
  5. Step 5: Solve for x
    x = 788,021,942,436/610,272
  6. Step 6: Final answer
    x = 1,291,263.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.