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Finding the Third Proportional to 610,317 and 887,772

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Solution

The third proportional to 610,317 and 887,772 is: 1,291,360.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,317 : 887,772 = 887,772 : x
  2. Step 2: Convert to fraction form
    610,317/887,772 = 887,772/x
  3. Step 3: Cross multiply
    610,317x = 887,772 × 887,772
  4. Step 4: Simplify right side
    610,317x = 788,139,123,984
  5. Step 5: Solve for x
    x = 788,139,123,984/610,317
  6. Step 6: Final answer
    x = 1,291,360.27

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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.