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Finding the Third Proportional to 612,412 and 870,988

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Solution

The third proportional to 612,412 and 870,988 is: 1,238,741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,412 : 870,988 = 870,988 : x
  2. Step 2: Convert to fraction form
    612,412/870,988 = 870,988/x
  3. Step 3: Cross multiply
    612,412x = 870,988 × 870,988
  4. Step 4: Simplify right side
    612,412x = 758,620,096,144
  5. Step 5: Solve for x
    x = 758,620,096,144/612,412
  6. Step 6: Final answer
    x = 1,238,741.40

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.