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Finding the Third Proportional to 610,434 and 887,895

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Solution

The third proportional to 610,434 and 887,895 is: 1,291,470.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,434 : 887,895 = 887,895 : x
  2. Step 2: Convert to fraction form
    610,434/887,895 = 887,895/x
  3. Step 3: Cross multiply
    610,434x = 887,895 × 887,895
  4. Step 4: Simplify right side
    610,434x = 788,357,531,025
  5. Step 5: Solve for x
    x = 788,357,531,025/610,434
  6. Step 6: Final answer
    x = 1,291,470.55

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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.